Вариант 11

3

2x

5

1.

lim

7 x

x

1

x

2.

lim

3x5

5x2

4

2x3

x

x

3

3.

lim

3x3

24

x2

x

2

5x

6

4.

lim

x2

2x

x2 x

x

x

5.

lim

x

2

x

2

6 x

x

2

6.

lim

x

1

tg

x

x

1

2

7.

lim

sin 3x

arctg2x

x

arcsin 4x

x

0

8.

lim

x

3

2x

1

x

2

x

1 x, приx

0

f x

1 x 2, при1

x 3

x, приx

3

4

cos5x

1.

lim

8 x

x2

x

3

x

3

x

2

2.

lim

2

x

x

x

5

3.

lim

1

9x2

3x2

x

13

10x 3

4.

lim

2x

1

3

5x

20

x

4

5.

lim

x2

x

x2 3x 4

x

6.

lim

sin 3x

sin x

x

x

0

7.

x

lim

1

3x

x

0

8.

lim

1

2x

3 х

x

0

9.

lim

ctg

x

3

x

3

0

3cos x, приx

0

f x

2

x, при0 x

3

x2

6x 8, приx

3

3x

1.

lim

4 x

2

x2

x

7

2.

lim

4x2

2x

1

x4

x

2x

7

3.

lim

x3

1

5x2

x

1

5

4.

lim

2x 4

3x

10

4

x

2

5.

lim

2x

3 n x

2 nx

x

6.

lim

tg 23x

x

0 10x2

7.

lim

arcsin 2 3x

1

cos 4x

x

0

8.

lim

1

tg3x 2x

x

0

9.

lim

6

1x

5

x2

1

, приx 1

f x

x

1

1.

lim

1 x sin 2x

3

x

x

0

2.

lim

x2

3x

3

x

x

2x

3.

lim

2x2

3x

1

x2

x

1

1

4.

lim

x2

x

12

x

2

4 x

x

3

5.

lim

x

x2

1

x

6.

lim

x2 ctg 25x

x

0

7.

lim

n 1

2x

sin 3x

e3x 1

x

0

tg7x

8.

x

lim

1

2x

x

0

9.

lim

1

1

x

1 0

2, приx 0, x

2

f x

4 x2, при0

x

2

4, при

x

2