Вариант 15

2

sin 2 x

1.

lim

7 x

1

2x2

x

2.

lim

x

3 2x

1

x2

x

3x

2

3.

lim

x3

64

x2

x

4

5x

2

4.

lim

1

x2

1

x

x

0

5.

lim

1

2

x 1

x2

x

1

1

6.

lim

x

1

1

sin x

x

0

7.

lim

n 1

3x arctg5x

e2x

x

0

1

sin 7x

1

x2

8.

lim

1

x

x

9.

lim

g 2

x

2

x

x

2

0

4

x, приx

1

f x

5, при 1 x

0

x2

5, приx

0

1.

lim

3x2

1

1

x

x2

4

x

7x

2.

lim

9x2

1

x

1

x

3.

lim

x3

8

x2

x

2

4

4.

lim

1

5x

1

x

x

0

5.

lim

x2

5x

4

x2 x

x

6.

lim

sin 5x

tg3x

x

0

7.

lim

e8x

e5x

x

x

0

8.

lim

x

5

4x

x

x

9.

lim

7x

ctg3x

f x

x2

, приx

0

3x, приx

0

1

cos3x

1.

lim

6 x

x

x

2.

lim

10x

2

10x

1

x

5

3.

lim

3x

9

x3

x

3

27

4.

lim

x2

7

3

x

4

x

4

5.

lim

1

2

x

1

x2

x

1

1

6.

lim

1

cos18x

sin 2 9x

x

0

e3x

1

sin 2x

7.

lim

1

cos 4x

x

0

x

2x

3

8.

lim

x

1

x

9.

lim

arctg

1

x

x

0

1, приx

1

f x

x2

2x, при1

x 2

5

x, приx

2

1.

3sin 5x

1

x

lim

6

3x

x

2.

lim

2x

5

2

x

4x

6x

7

3.

lim

x3

8

x2

x

2

4x

4

4.

lim

4x

1

3

x2

x

2

4

5.

lim

x2

4x

x2 2x 1

x

6.

lim

1

сosx

3cos2

x

x

0

2

7.

lim

sin 5x

tg3x

e3x

x

0

1

arctgx

8.

lim

3x

5 2x

3x

1

x

1

9.

lim

7 x

2

x

1, приx

1

f x

1 x2, при

1

x 1

x2

2x,

приx

1