SILK-EPIL EVERSOFT - Epilator BRAUN - Free user manual and instructions

Product type	Electric epilator
Brand	BRAUN
Model	SILK-EPIL EVERSOFT
Power supply	12 V transformer (included), mains plug
Epilation head	High-precision tweezers system with variable geometry
Minimum hair length	0.5 mm
Recommended hair length	2 to 5 mm
Areas of use	Legs, forearms, underarms, bikini line
Speed modes	2 positions: gentle (1) and normal (2)
Cleaning	Clean the epilation head with the supplied brush and a cleaning liquid (e.g. alcohol) after each use
Safety	Do not immerse the appliance, keep out of reach of children, do not use on hair or eyebrows
Warranty	2 years, subject to conditions (manufacturing defects, no improper use)
Included accessories	Epilation head, 12 V transformer, connector cord, cleaning brush
Countries of sale	All countries where Braun or its exclusive distributor sells the appliance
Standards	Compliant with directives 89/336/EEC and 73/23/EEC
Disposal	Do not dispose of with household waste, take to an authorized Braun center or recycling site

Frequently Asked Questions - SILK-EPIL EVERSOFT BRAUN

What is the ideal hair length for using the SILK-EPIL EVERSOFT?

The ideal length is between 2 and 5 mm. If your hair is longer, trim it to the recommended length for easier and more comfortable epilation.

Can I use the epilator on wet skin?

No, the device is designed for use on dry skin. Never use in the shower or on wet skin to avoid any risk of electric shock.

How to clean the epilation head?

After each use, unplug the device. Remove the head by pressing the side ejection buttons. Clean it thoroughly with the supplied brush and a cleaning liquid such as alcohol. You can turn the tweezers manually for more effective cleaning. Also wipe the top of the device with the brush.

Is epilation painful?

First uses may cause discomfort. This usually decreases over time. To reduce pain, start with the gentle mode (position 1) and epilate in the evening so any redness can fade overnight.

What to do in case of skin irritation after epilation?

Redness or itching is normal and disappears quickly. If irritation persists beyond 36 hours, consult a doctor. To minimize risks, clean the head thoroughly before each use and exfoliate the skin regularly.

Can I use the epilator on underarms and bikini line?

Yes, these areas can be epilated, but they are more sensitive. Clean them thoroughly and pat dry. For underarms, keep your arm raised and move the device in different directions. Pain decreases with use.

How to prevent ingrown hairs?

To prevent ingrown hairs, regularly use a horsehair glove or exfoliate the skin. This removes dead cells and prevents fine hairs from getting trapped under the skin.

What to do if the epilation head gets stuck?

Unplug the device. Remove the head and clean it with the brush and a cleaning liquid. Check that no hair or residue is blocking the tweezers. You can turn the tweezers manually to facilitate cleaning.

What is the warranty on the SILK-EPIL EVERSOFT?

Braun offers a 2-year warranty from the date of purchase, covering manufacturing defects. For any claim, return the device with the warranty certificate to your retailer or an authorized Braun Service Center.

Can I use a different transformer than the one supplied?

No, only use the 12 V transformer supplied with the device. Before use, verify that the voltage indicated on the transformer matches your mains voltage.

USER MANUAL SILK-EPIL EVERSOFT BRAUN

Our products are engineered to meet the highest standards of quality, functionality and design. We hope you thoroughly enjoy your new Silk-épil.

Please read the use instructions carefully and completely before using the appliance.

Braun Silk-epil EverSoft has been designed to make the removal of unwanted hair as efficient, gentle and easy as possible. Its proven epilation system removes your hair at the root, leaving your skin smooth for weeks.

The high-precision epilation head ① with its unique arrangement of tweezers and the integrated feed-in geometry ensures an efficient epilation and removes even hair as short as 0.5mm at the root. As the hair that re-grows is fine and soft, there will be no more stubble.

Warning

• Keep the appliance dry.
• Keep the appliance out of the reach of children.
• When switched on, the appliance must never come in contact with the hair on your head, eyelashes, ribbons, etc. to prevent any danger of injury as well as to prevent blockage or damage to the appliance.
• Before use, check whether your voltage corresponds to the voltage printed on the transformer.

Always use the country-specific 12V transformer plug supplied with the product.

General information on epilation

Silk-épil is designed to remove hair on legs, but it can also be used on all sensitive areas like forearms, the underarm or the bikini line.

All methods of hair removal at the root can lead to in-growing hair and irritation (e.g. itching, discomfort or reddening of the skin), depending on the condition of the skin and hair. This is a normal reaction and should quickly disappear, but may be stronger when you are removing hair at the root for the first few times or if you have sensitive skin.

If, after 36 hours, the skin still shows irritation, we recommend that you contact your physician. In general, the skin reaction and the sensation of pain tend to diminish considerably with the repeated use of Silk-épil.

In some cases inflammation of the skin could occur when bacteria penetrate the skin (e.g. when sliding the appliance over the skin).

Thorough cleaning of the epilation head before each use will minimise the risk of infection.

If you have any doubts about using this appliance, please consult your physician. In the following cases, this appliance should only be used after prior consultation with a physician:

• eczema, wounds, inflamed skin reactions such as folliculitis (purulent hair follicles) and varicose veins
  around moles
• reduced immunity of the skin, e.g. diabetes mellitus, during pregnancy, Raynaud's disease
• haemophilia or immune deficiency.

Some useful tips

Epilation is easier and more comfortable when the hair is at the optimal length of 2-5 mm (0.08-0.2 in.). If hairs are longer, we recommend to pre-cut to this length.

When epilating for the first time, it is advisable to epilate in the evening, so that any possible reddening can disappear overnight. To relax the skin we recommend applying a moisture cream after epilation.

Fine hair which re-grows might not grow up to the skin surface. The regular use of massage sponges (e.g. after showering) or exfoliation peelings helps to prevent in-growing hair as the gentle scrubbing action removes the upper skin layer and fine hair can get through to the skin surface.

Description (see page 4)

① Epilation head with tweezer element
② Release buttons
③ Switch
④ Socket for cord connector
⑤ Cord connector
⑥ 12 V transformer plug

How to epilate

• Your skin must be dry and free from grease or cream.
  Before starting off, thoroughly clean the epilation head ①
  Plug the cord connector ⑤ into the socket ④ and plug the transformer plug ⑥ into an electrical outlet.

• To turn on the appliance, slide switch ③ up to setting «2»
  2 = normal speed,
  1 = reduced speed).

• Rub your skin to lift short hairs.

For optimal performance, hold the appliance at a right angle (90^) against your skin and guide it without pressure against the hair growth, in the direction of the switch.

1. Leg epilation
   Epilate your legs from bottom upwards. When epilating behind the knee, keep the leg stretched out straight.
2. Underarm and bikini line epilation Use tests monitored by dermatologists have revealed that you can also epilate the underarm and the bikini line. Please be aware that these areas are particularly sensitive to pain. With repeated usage the pain sensation will diminish.

Before epilating, thoroughly clean the respective area to remove residue (like deodorant). Then carefully dab dry with a towel. When epilating the underarm,

keep your arm raised up and guide the appliance in different directions.

Cleaning the epilation head

1. After epilating, unplug the appliance and clean the epilation head.
2. Thoroughly clean the tweezer element with the cleaning brush and also with cleaning fluid (e.g. alcohol). While cleaning, you can turn the tweezer element manually. To remove the epilation head, press the release buttons ② on the left and right and pull it off.
3. Give the top of the housing a quick clean with the brush. Place the epilation head back on the housing.

Subject to change without notice.

This product conforms to the European Directives EMC 89/336/EEC and Low Voltage 73/23/EEC.

Please do not dispose of the product in the household waste at the end of its useful life. Disposal can take place at a Braun Service Centre or at appropriate collection points provided in your country.

François

Description (cf. page 4)

Endringer forbeholds.

Country of origin: Germany

Year of manufacture

To determine the year of manufacture, refer to the 3-digit production code located near the socket. The first digit of the production code refers to the last digit of the year of manufacture. The next two digits refer to the calendar week in the year of the manufacture.

Example: "435" - The product was manufactured in week 35 of 2004.

L

all

aaiiaolaoiablaiali-7

（）aLbJyLgUyS

SLS

Jai. 1. blll

Jzj Jzj

.1

aaijaiy jaiy

aIgJyJyJyJyJyJyJy

.aaa

Jz

$$ \begin{array}{l} \ddot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \ \therefore \sum_ {i = 1} ^ {n} a _ {i} = \sum_ {i = 1} ^ {n} a _ {i} \ \therefore \frac {1}{2} \left[ \begin{array}{l l l l l l} \frac {1}{2} & \frac {1}{2} & \frac {1}{2} & \frac {1}{2} & \frac {1}{2} & \frac {1}{2} \ 0 & 0 & 0 & 0 & 0 & 0 \end{array} \right] \ \end{array} $$

$$ \begin{array}{l} \left. \int_ {0} ^ {1} \frac {d x}{x - 1} \right| _ {0} ^ {1} = \int_ {0} ^ {1} \frac {d x}{x - 1} \ \dot {a} \dot {b} \dot {c} \dot {d} \dot {e} \dot {f} \dot {g} \dot {h} \dot {i} \dot {j} \dot {k} \dot {l} \dot {m} \dot {n} \dot {o} \dot {p} \dot {q} \dot {r} \dot {s} \dot {t} \ \therefore \text {a g a} \cup \text {j e l s u r e m a t h {{}} \cup \text {i n} \cup \text {i n} \cup \text {i n} \ \end{array} $$

$$ \begin{array}{l} \ddot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \ \therefore \sum_ {i = 1} ^ {n} a _ {i} = \sum_ {i = 1} ^ {n} a _ {i} \ \therefore \frac {1}{2} \left[ \begin{array}{l l l l l l} \frac {1}{2} & \frac {1}{2} & \frac {1}{2} & \frac {1}{2} & \frac {1}{2} & \frac {1}{2} \ 0 & 0 & 0 & 0 & 0 & 0 \end{array} \right] \ \int_ {0} ^ {1} \frac {\sin x}{x - 1} d x = \frac {1}{2} \ \left. \int_ {0} ^ {1} \frac {d x}{x - 1} \right| _ {0} ^ {1} = \int_ {0} ^ {1} \frac {d x}{x - 1} \ \dot {a} \dot {b} \dot {c} \dot {d} \dot {e} \dot {f} \dot {g} \dot {h} \dot {i} \dot {j} \dot {k} \dot {l} \dot {m} \dot {n} \dot {o} \dot {p} \dot {q} \dot {r} \dot {s} \dot {t} \ \therefore \text {a g a} \cup \text {j e l s u r e m a t h {{}} \cup \text {i n} \cup \text {i n} \cup \text {i n} \ \int_ {a} ^ {b} \frac {1}{x} d x = \int_ {a} ^ {b} \frac {1}{y} d y = 2 \ \frac {1}{2} \sum_ {i = 1} ^ {n} \frac {1}{2 i} = \frac {1}{2 n} \ \cos \alpha = \frac {1}{2} \sin \alpha + \frac {1}{2} \cos \alpha - \frac {1}{2} \sin \alpha \ \begin{array}{c} \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {b r e a k} \end{array} \ \therefore \frac {1}{2} \times 1 0 = \frac {1}{2} \times 1 0 = \frac {1}{2} \ j s l o s t i c a i n d e r w i t h \ \therefore \quad \text {i} _ {\alpha} \cup \text {S} _ {\beta} \cup \text {U} _ {\alpha \beta} \cup \text {L} _ {\alpha \beta \gamma} \ \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \ \left. \rho_ {i j k l} \right\rvert \text {l i s} j = 1, j = 0, j = 1, \ \therefore \text {a n d} \quad \Delta U _ {\rho_ {1}} \sim \Delta U _ {\rho_ {2}} \ \therefore \text {a l l} j: a _ {i} = \ a _ {l o} a _ {l b} a _ {b i} a _ {i l l} a _ {i b l l} \ \bar {z} _ {\gamma_ {1}} \bar {S} \left( \right.\frac {1}{2}, \frac {1}{2}, \frac {1}{2}, \frac {1}{2}, \frac {1}{2}, \frac {1}{2}, \frac {1}{2}, \frac {1}{2}, \frac {1}{2}, \frac {1}{2}, \frac {1}{2}, \frac {1}{2}, \frac {1}{2}, \frac {1}{2}, \frac {1}{2}, \frac {\gamma_ {3}}{2}, \frac {\gamma_ {4}}{2}, \frac {\gamma_ {5}}{2}, \frac {\gamma_ {6}}{2}, \frac {\gamma_ {7}}{2}, \frac {\gamma_ {8}}{2}, \frac {\gamma_ {9}}{2}, \frac {\gamma_ {1 0}}{2}, \frac {\gamma_ {1 1}}{2}, \frac {\gamma_ {1 2}}{2}, \frac {\gamma_ {1 3}}{2}, \frac {\gamma_ {1 4}}{2}, \frac {\gamma_ {1 5}}{2}, \frac {\gamma_ {1 6}}{2}, \frac {\gamma_ {1 7}}{2}, \frac {\gamma_ {1 8}}{2}, \frac {\gamma_ {1 9}}{2}, \frac {\gamma_ {2 0}}{2}, \frac {\gamma_ {2 1}}{2}, \frac {\gamma_ {2 2}}{2}, \frac {\gamma_ {2 3}}{2}, \frac {\gamma_ {2 4}}{2}, \frac {\gamma_ {2 5}}{2}, \frac {\gamma_ {2 6}}{2}, \frac {\gamma_ {2 7}}{2}, \frac {\gamma_ {2 8}}{2}, \frac {\gamma_ {2 9}}{2}, \frac {\gamma_ {3 0}}{2}, \frac {\gamma_ {3 1}}{2}, \frac {\gamma_ {3 2}}{2}, \frac {\gamma_ {3 3}}{2}, \frac {\gamma_ {3 4}}{2}, \frac {\gamma_ {3 5}}{2}, \frac {\gamma_ {3 6}}{2}, \frac {\gamma_ {3 7}}{2}, \frac {\gamma_ {3 8}}{2}, \frac {\gamma_ {3 9}}{2}, \frac {\gamma_ {3 0}}{2}, \frac {\gamma_ {3 0}}{2}, \frac {\gamma_ {3 0}}{2}, \frac {\gamma_ {3 0}}{2}, \frac {\gamma_ {3 0}}{2}, \frac {\gamma_ {3 0}}{2}, \frac {\gamma_ {3 0}}{2}, \frac {\gamma_ {3 0}}{2}, \frac {\gamma^ {*}}{2} \ . (\stackrel {\rightharpoonup} {v}) \ \int_ {0} ^ {\infty} \frac {1}{x} d x = \int_ {0} ^ {\infty} \frac {1}{x ^ {2}} d x = \int_ {0} ^ {\infty} \frac {1}{x ^ {3}} d x = \int_ {0} ^ {\infty} \frac {1}{x ^ {4}} d x = \dots \ j a w l l \quad a l l j \quad i w. c. \quad a n d \quad l \quad L _ {w o l l} \ \int_ {0} ^ {1} \frac {1}{x} \frac {1}{2 x + 1} \frac {1}{3 x + 2} \dots \frac {1}{n - 1} \ . \dot {a} \dot {a} \dot {a} \dot {c} \dot {c} \dot {c} \dot {c} \dot {c} \dot {c} \dot {c} \dot {c} \ \end{array} $$

$$ \begin{array}{l} (4 \dot {a} \dot {a} \dot {a} \dot {a}, \dot {b} \dot {b}) \dot {c} a g \ b a l o \text {c} \text {s} \text {s} \text {s} \text {s} \text {s} \text {s} \text {s} \text {s} \text {s} \text {s} \text {s} \text {s} \text {s} \tag {1} \ \begin{array}{c} \text {d} _ {j} \ \text {d} _ {j} \end{array} \ z ^ {L i \dot {a} \dot {a}} ③ \ \int_ {0} ^ {\infty} \omega^ {2} d x \quad ④ \ \therefore \text {⑤} \ \left. \begin{array}{l} b _ {1} = 1 7 \ \text {J} _ {2} = \text {J} _ {3} = \text {J} _ {4} = \text {J} _ {5} = \text {J} _ {6} = \text {J} _ {7} = \text {J} _ {8} = \text {J} _ {9} = \text {J} _ {1 0} = \text {J} _ {1 1} = \text {J} _ {1 2} = \text {J} _ {1 3} = \text {J} _ {1 4} = \text {J} _ {1 5} = \text {J} _ {1 6} = \text {J} _ {1 7} = \text {J} _ {1 8} = \text {J} _ {1 9} = \text {J} _ {2 0} = \text {J} _ {2 1} = \text {J} _ {2 2} = \text {J} _ {2 3} = \text {J} _ {2 4} = \text {J} _ {2 5} = \text {J} _ {2 6} = \text {J} _ {2 7} = \text {J} _ {2 8} = \text {J} _ {2 9} = \text {J} _ {3 0} = \text {J} _ {3 1} = \text {J} _ {3 2} = \text {J} _ {3 3} = \text {J} _ {3 4} = \text {J} _ {3 5} = \text {J} _ {3 6} = \text {J} _ {3 7} = \text {J} _ {3 8} = \text {J} _ {3 9} = \text {J} _ {4 0} = \text {J} _ {4 1} = \text {J} _ {4 2} = \text {J} _ {4 3} = \text {J} _ {\cdot_ {\cdot_ {\cdot_ {\cdot_ {\cdot_ {\cdot_ {\cdot_ {\cdot_ {\cdot}}}}}}}}} \ \end{array} $$

J

$$ \therefore \quad \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l} \text {l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l l} $$

$$ \therefore \cup {x, y } \cup {y, x } $$

$$ \begin{array}{l} \text {J u s i t y} \ \text {J u s i t y} \ \text {J u s i t y} \ \text {J u s i t y} \ \text {J u s i t y} \ \text {J u s i t y} \ \text {J u s i t y} \ \text {J u s i t y} \ \text {J u s i t y} \ \text {J u s i t y} \ $$

$$ . \text {a l a l} \quad \text {a l a l} \quad \text {a l a l} \quad \text {a l a l} \quad \text {a l a l} \quad \text {a l a l} \quad \text {a l a l} \quad \text {a l a l} \quad \text {a l a l} \quad \text {a l a l} \quad \text {a l a l} \tag {1} $$

$$ \text {⑤} \quad \text {a l s o w - l a m b d a} \quad \text {p} \cdot $$

$$ \text {⑥} \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow $$

$$ \therefore \frac {1}{2} l = 5 $$

$$ \left. \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \right] $$

$$ \because 2 \gg \text {a} _ {\text {一}} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一} \text {一}. $$

$$ \left. \bar {a} _ {2} \bar {s} \bar {c} \bar {u} \bar {v} \right] = \left\langle 2 \gg \right\rangle $$

$$ . \left(\Delta \text {一} \Delta \mid \mid : = \ll 1\right) $$

$$ \begin{array}{l} . \text {e} _ {\text {i n t e r}} \text {i} \text {i} _ {\text {i n t e r}} \text {i} _ {\text {i n t e r}} \text {i} _ {\text {i n t e r}} \text {i} _ {\text {i n t e r}} \text {i} _ {\text {i n t e r}} \text {i} _ {\text {i n t e r}} \text {i} _ {\text {i n t e r}} \ j \rightarrow j \ \text {s l a w} \text {i z e n t i l l} \text {c o s} \text {j a r k} \text {a l l} \text {s l o} \ (9. 0) \overrightarrow {a} \overrightarrow {c} \overrightarrow {b} \overrightarrow {d} \overrightarrow {e} \overrightarrow {f} \overrightarrow {g} \overrightarrow {h} \overrightarrow {i} \overrightarrow {j} \overrightarrow {k} \overrightarrow {l} \ \end{array} $$

$$ \therefore \log_ {2} 1 + 1 > \log_ {2} (S) < \frac {1}{\log_ {2} S} $$

$$ . \dot {y} \text {川} $$

$$ . \therefore c l l l j _ {i} ^ {j} j _ {i} ^ {j} j _ {i} ^ {j} j _ {i} ^ {j} j _ {i} ^ {j} j _ {i} ^ {j} j _ {i} ^ {j} j _ {i} ^ {j} j _ {i} ^ {j} j _ {i} ^ {j} j _ {i} ^ {j} j _ {i} ^ {j} - $$

$$ \mathcal {O} \cup \mathcal {I} \cup \mathcal {I} \cup \mathcal {J} $$

$$ \begin{array}{l} \text {d i s c} \ \text {d i s c} \ \text {d i s c} \ \text {d i s c} \ \text {d i s c} \ \text {d i s c} \ \text {d i s c} \ \text {d i s c} \ \text {d i s c} \ \text {d i s c} \ \text {d i s c} \ \text {d i s c} \ $$

$$ \begin{array}{l} \text {i n} \quad \text {a l b} \ \text {i n} \quad \text {a l b} \ \text {i n} \quad \text {a l b} \ \text {i n} \quad \text {a l b} \ \text {i n} \quad \text {a l b} \ \text {i n} \quad \text {a l b} \ \text {i n} \quad \text {a l b} \ \text {o u t} \quad \text {o u t} \ \text {o u t} \quad \text {o u t} \ \text {o u t} \quad \text {o u t} \ \text {o u t} \quad \text {o u t} \ \text {o u t} \quad \text {o u t} \ \text {o u t} \quad \text {o u t} \ \text {o u t} \quad \text {u p s i l o n} \ \text {o u t} \quad \text {o u t} \ \text {o u t} \quad \text {o u t} \ \text {o u t} \quad \text {o u t} \ \text {o u t} \quad \text {o u t} \ \text {o u t} \quad \text {o u t} \ \text {o u t} \quad \text {p l a s s i e n c y} \ \text {o u t} \quad \text {p l a s s i e n c y} \ \text {o u t} \quad \text {p l a s s i e n c y} \ \text {o u t} \quad \text {p l a s s i e n c y} \ \text {o u t} \quad \text {p l a s s i e n c y} \ \end{array} $$

$$ \begin{array}{l} \text {d e l t a .} \ \text {d e l t a .} \ \text {d e l t a .} \ \text {d e l t a .} \ \text {d e l t a .} \ \text {d e l t a .} \ \text {d e l t a .} \ \text {d e l t a .} \ \text {d e l t a .} \ \text {d e l t a .} \ $$

$$ \begin{array}{l} \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {a l l} \ \text {b a s} \ \text {b a s} \ \text {b a s} \ \text {b a s} \ \text {b a s} \ \text {b a s} \ \text {b a s} \ \text {b a s} \ \text {b a s} \ \text {b a s} \ \text {b a s} \ \text {b a s} \ \text {b a s} \ \end{array} $$

$$ \begin{array}{l} \text {c a s e} \quad \text {e l i s a d L e o J o g e n u i t y} \ \text {d e l t a} \quad \text {y i o}) \quad \text {c i a w} \quad \text {p L a l l} \end{array} $$

$$ \begin{array}{l} \text {i s} _ {\text {i}} \ \text {i s} _ {\text {i}} \ \text {i s} _ {\text {i}} \ \text {i s} _ {\text {i}} \ \text {i s} _ {\text {i}} \ \text {i s} _ {\text {i}} \ \text {i s} _ {\text {i}} \ \text {i s} _ {\text {i}} \ \text {i s} _ {\mathrm {i}} \ \text {i s} _ {\mathrm {i}} \ \text {i s} _ {\mathrm {i}} \ \text {i s} _ {\mathrm {i}} \ \text {i s} _ {\mathrm {i}} \ \text {i s} _ {\mathrm {i}} \ \text {i s} _ {\mathrm {i}} \ \text {i s} _ {\mathrm {i}} \ \text {i is} _ {\mathrm {i}} \ \text {i i} _ {\mathrm {i}} \ \text {i i} _ {\mathrm {i}} \ \text {i i} _ {\mathrm {i}} \ \text {i i} _ {\mathrm {i}} \ \text {i i} _ {\mathrm {i}} \ \text {i i} _ {\mathrm {i}} \ \text {i i} _ {\mathrm {i}} \ \text {i i} _ {\mathrm {i}} \ $$

$$ \begin{array}{c} \text {A a} _ {\text {a}} \text {B a} _ {\text {b}} \text {C a} _ {\text {c}} \text {D a} _ {\text {d}} \text {E a} _ {\text {e}} \ \text {F a} _ {\text {f}} \text {G a} _ {\text {g}} \text {H a} _ {\text {h}} \text {I a} _ {\text {i}} \text {J a} _ {\text {j}} \text {K a} _ {\text {k}} \text {L a} _ {\text {l}} \text {M a} _ {\text {m}} \text {N a} _ {\text {n}} \end{array} $$

$$ \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup $$

$$ . (l) \frac {1}{2} 1 \vert j \frac {1}{2} 1 \vert_ {j = 0} l _ {i} (l o c i e) $$

$$ j _ {i} \cdot j _ {i} ^ {\prime} \cdot l _ {i} \cdot l _ {i} ^ {\prime} \cdot a _ {i} \cdot a _ {i} ^ {\prime} \cdot b _ {i} \cdot b _ {i} ^ {\prime} \cdot c _ {i} \cdot c _ {i} ^ {\prime} $$

$$ . \therefore L o l = \text {i} _ {j} \text {i} _ {j} \text {i} _ {j} \text {i} _ {j} \text {i} _ {j} \text {i} _ {j} $$

$$ \begin{array}{l} \text {e g g i s :} \text {e g g i s :} \text {e g g i s :} \text {e g g i s :} \text {e g g i s :} \text {e g g i s :} \text {e g g i s :} \text {e g g i s :} \text {e g g i s :} \text {e g g i s :} \text {e g g i s ：} \text {e g g i s ：} \text {e g g i s ：} \text {e g g i s ：} \text {e g g i s ：} \text {e g g i s ：} \text {e g g i s ：} \text {e g g i s ：} \text {e g g i s ：} \text {e g g i s ：} \text {e g g i s ；} \end{array} $$

$$ \left. \int_ {0} ^ {\infty} \varepsilon (\frac {1}{n}) \right| _ {0} ^ {\infty} \mathrm {d} n $$

$$ . (a) \vert a \vert , b \vert a, b \vert a, b $$

$$ \left| \begin{array}{l l l l l l} 1 & 2 & 3 & 4 & 5 & 6 \ 7 & 8 & 9 & 1 0 & 1 1 & 1 2 \end{array} \right| $$

$$ \therefore a c l o w 4 7 d e s h l b d e C ^ {2} $$

$$ \therefore \text {a l o c} \quad \text {a d} \quad \text {a s} \quad \text {s l} \quad \text {s l} \quad \text {s l} \quad \text {s l} \quad \text {s l} $$

$$ \dot {l} \dot {s} \dot {s} \dot {s} \dot {s} \dot {s} \dot {s} \dot {s} \dot {s} \dot {s} \dot {s} \dot {s} $$

$$ \begin{array}{c} - \text {e l l} _ {\mathrm {s}} \text {J} _ {\mathrm {a a a a a a}} \text {J} _ {\mathrm {r s}} \text {S} \text {g} \text {L} _ {\mathrm {s}} \text {S} \text {J} _ {\mathrm {a a}} \ \text {. J} _ {\mathrm {s}}! \end{array} $$

$$ \left. \int_ {0} ^ {1} \frac {1}{x} \right| _ {0} ^ {1} \int_ {0} ^ {1} \frac {1}{x} d x $$

$$ . \underline {{\underline {{\mathcal {L}}}}} _ {\mathrm {i n t}} \underline {{\mathcal {L}}} _ {\mathrm {i n t}} \underline {{\mathcal {L}}} _ {\mathrm {i n t}} \underline {{\mathcal {L}}} _ {\mathrm {i n t}} \underline {{\mathcal {L}}} _ {\mathrm {i n t}} \underline {{\mathcal {L}}} _ {\mathrm {i n t}} $$

$$ \begin{array}{l} \text {x j l i l l} \end{array} $$

$$ : \bar {a} _ {i j k l} = \bar {a} _ {i j k l} \bar {a} _ {j k l} \bar {a} _ {l k j} \bar {a} _ {k l} $$

$$ \left| \frac {1}{2} \times 3 0 0 \right| < \left| \frac {1}{2} \times 5 0 \right| < \left| \frac {1}{2} \times 5 0 \right| - $$

$$ \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow \downarrow $$

$$ \left. \right| _ {a} ^ {b} (x) = x \cdot \frac {1}{2} $$

$$ \therefore \frac {1}{2} \times 3 = \frac {1}{2} \times 3 = \frac {1}{2} $$

$$ \therefore \text {立} \cup \text {立} \cup \text {立} \quad 2 > 3 - $$

$$ \therefore \text {a l l} = \text {a l l} \text {a l l} \text {a l l} - $$

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$$ j _ {2} \leq S (l) \leq j _ {2} + S (k) \leq l, 0 < j _ {1} $$

$$ L _ {i} \cup_ {j} \cup_ {k} \cup_ {l} \cup_ {m} \cup_ {n} \cup_ {o} \cup_ {p} \cup_ {q} \cup_ {r} $$

$$ \left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right. $$

$$ \left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right. $$

$$ \therefore \text {L} _ {\text {L}} \text {L} _ {\text {L}} \text {L} _ {\text {L}} \text {L} _ {\text {L}} \text {L} _ {\text {L}} \text {L} _ {\text {L}} \text {L} _ {\text {L}} \text {L} _ {\text {L}} $$

$$ \therefore \text {c o n s t} $$

$$ \left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right. $$

$$ \therefore \left| \frac {1}{2} \right| \leqslant \left| \frac {1}{2} \right| \leqslant 1 $$

$$ \int_ {0} ^ {\infty} \frac {1}{x} \left(\frac {1}{x} + \frac {1}{x ^ {2}}\right) \frac {1}{x ^ {3}} d x $$

$$ a i l a j i c l i n g a i n o l e k i n $$

$$ \therefore \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} $$

$$ \therefore \Delta A D E \sim \Delta A B C $$

$$ \lfloor \alpha_ {j} \rfloor \lfloor \alpha_ {k} \rfloor \dots \lfloor \alpha_ {l} \rfloor \dots \lfloor \alpha_ {n} \rfloor $$

$$ \Delta \mathrm {d} y \mathrm {d} z = \Delta \mathrm {d} x \mathrm {d} y \mathrm {d} z = \Delta y \mathrm {d} x \mathrm {d} z = \Delta z \mathrm {d} x \mathrm {d} y $$

$$ \therefore \sum_ {i = 1} ^ {n} a _ {i} d _ {i} = \sum_ {i = 1} ^ {n} a _ {i} d _ {i} $$

$$ j _ {l} \cup_ {l} j _ {r} \cup_ {r} s _ {s} \cup_ {s} s _ {l} \cup_ {l} s _ {s} $$

$$ . \Delta_ {2} \Delta_ {3} $$

$$ \therefore \text {L i} = \text {a l a z i o} \text {(g) L e s} + \text {L i} \text {L i} _ {2} = \text {L i} $$

$$ \lim _ {x \rightarrow - \infty} \frac {\sin x}{x ^ {2}} $$

$$ \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} \text {j} $$

$$ . \dot {a} \dot {w} \dot {L} $$

$$ \therefore \text {d} \left| \right| \text {d} \left| \right| \text {d} \left| \right| \text {d} \left| \right| \text {d} \left| \right| \text {d} \left| \right| \text {d} \left| \right| \text {d} \left| \right| $$

$$ \lim _ {x \to 0} \frac {\sin x}{x + 1} $$

$$ \therefore \sum_ {i = 1} ^ {n} a _ {i} = \sum_ {i = 1} ^ {n} a _ {i} $$

$$ \therefore \text {i g} _ {j} = \text {i g} _ {j} \text {i g} _ {j} \text {i g} _ {j} \text {i g} _ {j} \text {i g} _ {j} \text {i g} _ {j} \text {i g} _ {j} \text {i g} _ {j} $$

$$ {g _ {i} \leqslant g _ {j} \leqslant k, g _ {i} \leqslant g _ {j} \leqslant k, g _ {i} \leqslant g _ {j} \leqslant k, $$

$$ \begin{array}{l} \text {i j} \ \text {i j} \ \text {i j} \ \text {i j} \ \text {i j} \ \text {i j} \ \text {i j} \ \text {i j} \ \text {i j} \ \text {i j} \ \text {i j} \ \text {i j} \ \text {i j} \ \text {i j} \ \text {i j} \ \end{array} $$

$$ \int_ {0} ^ {1} \frac {\sin x}{x + 1} d x = \int_ {0} ^ {1} \frac {\sin x}{x + 1} d x $$

$$ \left. \omega_ {i} \omega_ {j} \omega_ {k} \omega_ {l} \omega_ {m} \omega_ {n} \omega_ {o}\right) = 0 $$

$$ \therefore S _ {\Delta} = \frac {1}{2} a b = \frac {1}{2} a b $$

$$ \lim _ {x \to 0} \frac {1}{x ^ {2}} \left| \frac {1}{x ^ {2}} + \frac {1}{x ^ {3}} + \frac {1}{x ^ {4}} + \dots + \frac {1}{x ^ {1 0}} \right| $$

$$ : j i \quad w j l e \quad w i i w $$

$$ \left. \omega_ {i} \omega_ {j} \omega_ {k} \omega_ {l} \omega_ {m} \omega_ {n} \omega_ {o} \omega_ {p} \omega_ {q} \omega_ {r} \omega_ {s} \omega_ {t} \omega_ {u} \omega_ {v} \omega_ {w} \omega_ {x} \omega_ {y} \omega_ {z}\right) $$

$$ \left. \right.\left. \right.\left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right. $$

$$ \therefore \mathrm {c o n s t} \quad \text {i f} \quad 3, 2, 1, 0 \leqslant k \leqslant $$

$$ \therefore \left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left. 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right) $$

$$ \therefore \text {d i s t} \leqslant \frac {\sqrt {2}}{2} \text {k e r n - 1} \leqslant \frac {1}{2} \text {d i s t} $$

$$ j _ {i} \leqslant j _ {i} \leqslant i \leqslant j _ {i} \leqslant i \leqslant j _ {i} \leqslant i \leqslant j _ {i} \leqslant i \leqslant j _ {i} $$

$$ \left| \begin{array}{l l l l l} \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \end{array} \right| $$

$$ \therefore \lim _ {x \rightarrow - \infty} \cos^ {2} x = \lim _ {x \rightarrow + \infty} \cos^ {2} x = \lim _ {x \rightarrow - \infty} (1) $$

$$ \therefore a b = 1, b c = 2 $$

$$ \therefore \lim _ {x \rightarrow - \infty} \frac {\sin x}{x ^ {2}} = \frac {\sin x}{x ^ {2}} $$

$$ S l a o l \neq 0. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 $$

$$ \omega_ {j} = \omega_ {i} + \omega_ {j} + \omega_ {i} + \omega_ {j} $$

$$ \therefore \mathrm {d} \omega = \mathrm {d} \omega_ {\mathrm {t}} $$

$$ \begin{array}{l} \begin{array}{l} \text {g o g a l y s i g m a} \ \text {(s y m b o l y l y s i g m a)} \end{array} \ L _ {1} \cup L _ {2} \cup L _ {3} \cup \dots \cup L _ {j} = L _ {1} \cup \dots \cup L _ {j} \ \therefore \lim _ {x \to 0} \frac {1}{x ^ {2}} \left| \frac {1}{x} \right| = \infty , \quad \lim _ {x \to 0} \frac {1}{x ^ {2}} \left| \frac {1}{x} \right| = - \infty \ \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \cup \ \therefore \Delta A B C \sim \Delta A B C \sim \Delta A B C \sim \Delta A B C \ \therefore \mathrm {c i l l} \subset \mathrm {c i l l} \cup \mathrm {j}, \mathrm {i n c l o} _ {\mathrm {o}} \ \dots \ \end{array} $$

$$ \sim \lim _ {x \rightarrow - \infty} \frac {\sin x}{x ^ {2}} $$

$$ \begin{array}{l} \left. \right.\left. \right.\left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right. \ \therefore \lim _ {x \to 0} \frac {1}{x ^ {2}} \left| \frac {1}{x ^ {2}} \right| \cdot \frac {1}{x ^ {2}} = \infty , \ \end{array} $$

$$ \therefore S _ {1} = \frac {1}{2} \times 2 \times 2 \times 2 = 4 $$

$$ \begin{array}{l} \left. \rho_ {k} \right\rvert_ {\partial D _ {1}} (j) \left(j \right\rvert_ {D _ {1}} \left(j \right.) \omega_ {k} \left(\frac {1}{2} \omega_ {k}\right) \ \therefore \cos \angle B = \sin \angle A + \sin \angle B + \sin \angle C + \sin \angle D + \sin \angle E \ \sim \sim \sim \sim \sim \sim \sim \sim \sim \sim \sim \sim \sim \sim \ 1, 2 \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \ \lim _ {x \to + \infty} \frac {\sin x}{x ^ {2}} \ \dots \mathrm {d} \overline {{\mathrm {s}}} \mathrm {t} \mathrm {o} \mathrm {o} \mathrm {o} \mathrm {o} \mathrm {o} \mathrm {o} \mathrm {o} \mathrm {o} \mathrm {o} \mathrm {o} \mathrm {o} \mathrm {o} \mathrm {o} \mathrm {o} \mathrm {o} \ \lim _ {x \rightarrow - \infty} \frac {1}{x ^ {2}} \left| \cos \frac {\pi}{3} \right| = \frac {1}{\sqrt {x}} \ \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \left. \right| \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| \left. \right| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 \ \therefore \Delta A D B \sim \Delta A D C \ \end{array} $$

$$ \begin{array}{l} \therefore \lim _ {x \to 0} \frac {\sin^ {2} x}{\cos^ {2} x} = \frac {1}{3} \ \therefore \mathrm {山} \ \end{array} $$

$$ \begin{array}{l} \therefore \lim _ {x \rightarrow - \infty} \frac {1}{x ^ {2}} = \frac {1}{x ^ {2}} \ \therefore \frac {1}{2} x - 1 > 3 - \frac {3}{2} x \ (\text {一} \cdot \text {一} \cdot \text {一} \cdot \text {一} \cdot \text {一} \cdot \text {一} \cdot \text {一} \cdot \text {一} \cdot \text {一} \cdot \text {一} \cdot \text {一} \cdot \text {一} \cdot \text {一} \ \therefore S \sim 1. 0 \ \end{array} $$

$$ : l a l \cup \cup \cup \cup \cup \cup = r $$

$$ \Delta L \sim \Delta A \sim \Delta C \sim \Delta D \sim \Delta E \sim \Delta F $$

$$ \therefore S _ {\Delta} = \frac {1}{2} \times 2 = 4 $$

$$ \therefore \sum_ {i = 1} ^ {n} \sum_ {j = 1} ^ {m} x _ {i j k l} | i, j, k = 1, 2 $$

$$ \ddot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} \dot {a} $$

$$ \therefore \sum_ {i = 1} ^ {n} S _ {i} $$

$$ \vert \overline {{b}} \vert = \vert \overline {{a}} \vert , \vert \overline {{b}} \vert + \vert \overline {{a}} \vert + \vert \overline {{a}} \vert + \vert \overline {{a}} \vert - 1 - 4 $$

$$ \therefore \frac {1}{2} S _ {\Delta} = \frac {1}{2} S _ {\Delta} $$

$$ \begin{array}{l} \left. \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \right\rangle \ \left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right. \ \left. \right.\left. \right.\left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right. \ \therefore \text {c o n s t a n t} \cup K o l _ {i} \text {d e l i t} \overline {{I I}} \ \end{array} $$

$$ \begin{array}{l} \therefore \lim _ {x \to 0} \frac {\sin^ {2} x}{x + 1} = \frac {1}{x} \ 2 0 0 0 \div b = \square \dots a \ \therefore \angle A B C = 1 8 0 ^ {\circ} + \angle A C D + \angle D C B \ j a b c d e f g h i j k l m n o p q r s t \ \therefore \downarrow \ \mathrm {L} _ {\mathrm {i n}} \mathrm {L} _ {\mathrm {o u t}} \mathrm {L} _ {\mathrm {o b s}} \mathrm {L} _ {\mathrm {o b s}} \mathrm {L} _ {\mathrm {o b s}} \mathrm {L} _ {\mathrm {o b s}} \ : \quad \text {a s} \quad \text {a l l} \quad \text {l a w} \quad \text {a l l} \quad \text {l a w} \quad \text {a l l} \quad \text {l a w} \quad \text {a l l} \ \cos \sin \omega_ {1} \cos \omega_ {2} \sin \omega_ {3} \sin \omega_ {4} \ \end{array} $$

$$ o k \therefore \omega \because L _ {j} ^ {i j} $$

$$ (3) \Delta_ {2} = 1, 0 4 \Delta_ {4} = 0. $$

$$ \therefore \left. \begin{array}{l} \text {a d a b i} \ \text {a d a b i} \end{array} \right| _ {\text {a r g m a x}} \quad ① $$

$$ \cos \alpha \sin \beta $$

$$ \text {③} $$

$$ \therefore \text {儿} \text {a l l} \text {s y s} \text {c s y s} ④ $$

$$ \left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right. $$

$$ \therefore \Delta L _ {1} \sim \Delta L _ {2} $$

$$ S _ {i j} \quad i \leqslant a, b, c, d, e, f, g, h, i j k l m n o p q r s t $$

$$ \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots $$

$$ \therefore \text {S} _ {\text {水}} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水} \text {水}. $$

$$ \therefore \Delta L E S \sim \Delta S \Delta L = ④ $$

$$ \text {⑥} \left. \downarrow \downarrow \downarrow \downarrow \downarrow \right\rangle $$

$$ \therefore \sum_ {i = 1} ^ {n} \sum_ {j = 1} ^ {m} \sum_ {k = 1} ^ {n - j} \sum_ {l = 1} ^ {m - k} $$

$$ \therefore \Delta = \Delta_ {1} + \Delta_ {2} $$

$$ \therefore \Delta L E F \sim 2 > \Delta D F L \quad ③ $$

$$ \left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \text {一} ^ {\prime} = 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1\right) = - 1 2 5 6 4 8 3 9 7 5 4 8 3 9 7 5 4 8 3 9 7 5 4 8 3 9 7 5 4 8 3 9 7 5 4 8 3 9 7 5 4 8 3 9 7 5 4 8 3 9 7 5 4 8 3 9 7 5 4 1 + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - $$

$$ . \left(\dot {u} _ {a} | b | \dot {u} _ {b} \right| = 1 1 > 1 $$

$$ L _ {1} \sim \frac {1}{2} \cos \theta_ {1} L _ {2} \sim \frac {1}{2} \sin \theta_ {2} - 1 $$

$$ \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots $$

$$ j _ {2} b j _ {1} a l o j _ {1} a l o j _ {2} c o l a l $$

$$ \begin{array}{l} \therefore \frac {1}{2} x - 1 > 3 - \frac {1}{2} x \ g o \left. (2) g + 1 \right| L, \quad \text {一} \mid L, \quad \text {二} \mid L \ j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , j \downarrow , \ \left. \rho S _ {1} \right| \left. \rho S _ {2} \right| \dots \left. \rho S _ {n} \right| \dots \left. \rho S _ {m} \right| \ \therefore \lim _ {y \to 0} \frac {1}{y ^ {2}} \left| \frac {1}{y} \right| = \frac {1}{y ^ {2}} \ \therefore \lim _ {x \to 0} \left| \frac {\sin x}{x + 1} - \frac {\sin x}{x - 1} \right| = \frac {\sin x}{x + 1} - \frac {\sin x}{x - 1} \ \therefore \mathrm {L} = \mathrm {c o l a t i v e} (\mathrm {s w} _ {\mathrm {o}}) \ \end{array} $$

$$ \begin{array}{l} \therefore \lim _ {x \rightarrow - \infty} x ^ {2} + \frac {1}{x ^ {3}} = \frac {1}{x ^ {3}} \ \therefore \lim _ {p \to 0} \frac {1}{p ^ {2}} = \frac {1}{p ^ {3}} \ \therefore \mathrm {d} \omega = 1, \mathrm {d} \omega = 0 \ \therefore \therefore \therefore \therefore \therefore \therefore \therefore \ \therefore \angle 1 = \angle 2 \ \therefore 2. 3 5 \div 1 0 = 1 2. 5 5 \ j \left{S _ {1} \right} = j \left{S _ {2} \right} \ j _ {1} \quad j _ {2} \quad j _ {3} \quad j _ {4} \quad j _ {5} \quad j _ {6} \quad j _ {7} \quad j _ {8} \quad j _ {9} \ j _ {i} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {j} j _ {i} \ \left(s _ {j} \leq s _ {j}\right) \cup \left(s _ {j} \leq s _ {j}\right) \ \therefore \ \therefore \Delta L _ {1} = \Delta L _ {2} = \Delta L _ {3} = \dots = \Delta L _ {n} \ \therefore \mathrm {s l a s} _ {\mathrm {s}} \mathrm {s l a s} _ {\mathrm {s}} \mathrm {s l a s} _ {\mathrm {s}} \mathrm {s l a s} _ {\mathrm {s}} \ \therefore \frac {1}{2} \times 5 \times 5 \times \frac {1}{2} = \frac {1}{2} \times 5 \times 5 \times 5 = \frac {1}{2} \times 5 \times 5 = 1 \ \end{array} $$

$$ \left. \int_ {0} ^ {1} \frac {1}{x} \right| _ {0} ^ {1} \left. \int_ {0} ^ {1} \frac {1}{x} \right| _ {0} ^ {1} $$

$$ \left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right. $$

$$ S _ {a} = S _ {b} = \dots $$

$$ j _ {i} = j _ {i} + b \quad i = i, j, k, m, n, s, t, u, v, w, x, y, z $$

$$ (s) l _ {s} - (s) l _ {s} l _ {s} l _ {s} d s $$

$$ \mathrm {R a y n a u d} $$

$$ \left. \int_ {0} ^ {1} \frac {d x}{x - 1} \right| _ {0} ^ {1} \cup \left. \int_ {1} ^ {2} \frac {d x}{x + 1} \right| _ {0} ^ {1} $$

$$ \cdot \dot {\iota} \omega $$

$$ \therefore \mathrm {d i s t} (\mathrm {l a i l}) \mathrm {d i s t} $$

$$ \therefore \lim _ {x \to 0} \frac {\log_ {1 0} {x}}{\log_ {2 0} {2}} = \frac {\log_ {1 0} {3}}{\log_ {2 0} {4}} $$

$$ (s) \vert s \vert \equiv s \vert s \vert l \equiv s \vert s \equiv c o l a l w i t h $$

$$ a _ {1} a _ {2} \dots a _ {n} | c _ {1} c _ {2} \dots c _ {n} $$

$$ S _ {j} \cup_ {i} j \cup_ {l} l \cup_ {a} a \cup_ {s} s $$

$$ \therefore \text {d} \left(\frac {\partial f}{\partial x}\right) = \frac {\partial f}{\partial y} \cdot \left(\frac {\partial f}{\partial z}\right) $$

$$ \mathrm {L} \omega \mathrm {c l a s s i n g} \mathrm {L} \omega \mathrm {l} \mathrm {p} \mathrm {k} \mathrm {i} \mathrm {s}, \mathrm {d} \mathrm {s} \mathrm {g} \mathrm {a} \mathrm {s} \mathrm {g} $$

$$ \therefore \lim _ {x \to 0} \frac {1}{x ^ {2}} \left| 1 - \cos^ {2} x \right| = \frac {1}{x ^ {2}} $$

$$ \vert \vert \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow , \downarrow $$

$$ \cdot \dot {u} \dot {w} \dot {y} $$

$$ \begin{array}{c} \text {i n g a l l} \ \text {i n g a l l} \ \text {i n g a l l} \ \text {i n g a l l} \ \text {i n g a l l} \ \text {i n g a l l} \ \text {i n g a l l} \ \text {i n g a l l} \ \text {i n g a l l} \ \text {i n g a l l} \ $$

$$ \therefore \left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right.\left. \right. 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 7 8 = - 1 . 5 5 4 9 + 1 . 5 5 4 9 + 1 . 5 5 4 9 + 1 . 5 5 4 9 + 1 . 5 5 4 9 + 1 . 5 5 4 9 + 1 . 5 5 4 9 + 1 . 5 5 4 9 + 1 . 5 5 4 9 + 1 . $$

$$ \Delta L \vdash J y b S s i g l e s l a g o u l j g $$

$$ \therefore \lim _ {x \rightarrow - \infty} \frac {\sin x}{x + 1} = \frac {\sin x}{x + 1} $$

$$ (S) \cup \left{ \right.S, \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , \omega , $$

$$ (1. \dot {s} \dot {s} \dot {s} s \dot {s} \dot {s} s) $$

$$ \left| \right| $$

$$ \int_ {0} ^ {\pi} \cos t \frac {1}{2} \sin t d t = \int_ {0} ^ {\pi} \frac {1}{2} \sin t d t $$

$$ \therefore $$

$$ \therefore \lim _ {y \to 0} y \left| \frac {1}{y} \right| \lim _ {y \to 0} y \left| \frac {1}{y} \right| \cdot \left| \frac {1}{y} \right| $$

$$ \left. \right.\left. \right.\left. \right.\left. \right.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\left.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right.\right. $$

$$ \left. \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \frac {1}{2} \right] $$

$$ \because \Delta_ {1} = \Delta_ {2} = \Delta_ {3} = \dots = \Delta_ {n} = \Delta_ {n + 1} = \dots = \Delta_ {n + n + 1} = \dots = \Delta_ {n + n + n + 1} = \dots = \Delta_ {n + n + n + n + 1} = \dots = \Delta_ {n + n + n + n + 1} $$

$$ \therefore \quad \text {i .} \quad \text {c o n s t a n t} \quad \text {j e f f} \quad \text {j o b j e c t} \quad \text {j o b j e c t} \quad \text {j o b j e c t} $$

$$ \therefore \sum_ {i = 1} ^ {n} a _ {i} \leqslant \sum_ {i = 1} ^ {n} b _ {i} \leqslant \sum_ {i = 1} ^ {n} c _ {i} $$

$$ \therefore c l \cdot 1 9 j _ {j} = j _ {j} - 5 1. 2 g _ {g} = 0 $$

$$ \hat {j} \hat {j} \hat {j} \hat {j} \hat {j} \hat {j} \hat {j} \hat {j} \hat {j} \hat {j} \hat {j} \hat {j} \hat {j} \hat {j} \hat {j} \hat {j} $$

$$ a _ {a b c} = \frac {S _ {b c}}{S _ {c a}} = \frac {S _ {c a}}{S _ {a b}} = \frac {S _ {a b c}}{S _ {c a}} = \frac {1}{2} $$

$$ 2 5 > 3 0 > 4 0 > 5 0 > 6 0 > 7 0 > \dots $$

$$ j 1 2 0 0 \cdot l _ {i} = 1, \quad (s) = s l _ {i} = i s l _ {i} $$

$$ S i l k \cdot e p i l \quad \text {a d} \quad \text {d} \quad \text {d} \quad \text {d} \quad \text {d} \quad \text {d} \quad \text {d} \quad \text {d} \quad \text {d} \quad \text {d} \quad \text {d} $$

$$ \therefore \mathrm {人} $$

$$ \Delta S _ {S} \sim \Delta S _ {D} \sim \Delta S _ {A} \sim \Delta S _ {B} $$

$$ \lfloor \text {l a b} \rfloor \text {c o n s t} \rfloor \text {j u a l} \rfloor \rfloor \text {c o l a l} \rfloor $$

$$ \left. \int_ {0} ^ {1} 2 y \right\rvert \geqslant 0, \left. \int_ {0} ^ {1} 2 y \right\rvert \geqslant 0, \left. \int_ {0} ^ {1} 2 y \right\rvert \geqslant 0 $$

$$ \text {o} \left(\frac {\partial f}{\partial x}\right) = \frac {\partial f}{\partial y} $$

$$ : \therefore \omega = \omega_ {1} + \omega_ {2} $$

$$ l _ {1} \left{l _ {2} \dots l _ {n} \right} + l _ {n} \cdot j - (l _ {2 n}) l _ {2 n} - $$

100

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S OBC = S BOC + S_ BOC

We grant 2 years guarantee on the product commencing on the date of purchase. Within the guarantee period we will eliminate, free of charge, any defects in the appliance resulting from faults in materials or workmanship, either by repairing or replacing the complete appliance as we may choose. This guarantee extends to every country where this appliance is supplied by Braun or its appointed distributor.

This guarantee does not cover: damage due to improper use, normal wear or use as well as defects that have a negligible effect on the value or operation of the appliance. The guarantee becomes void if repairs are undertaken by unauthorised persons and if original Braun parts are not used.

To obtain service within the guarantee period, hand in or send the complete appliance with your sales receipt to an authorised Braun Customer Service Centre.

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