Вариант 4

1

cos 2x

1.

lim

5 x

x2

x

0

3x

2.

lim

7x4

x2

4

5x4

2x2

x

1

3.

lim

x2

6x

16

3x2

x

2

5x

2

4.

lim

4x

5

30 x

5

5x

x

5

5.

lim

1

2x

x 1

x2

x

1

1

7.

lim

2x tg5x

1

cos 4x

x

0

x

2x 5

8.

lim

1

x

x

9.

lim

ex

x

x

1.

5sin 2x

1

x

lim

4

2x

x

2.

lim

4x3

x2

2x

6x3

x

5

3.

lim

x3

125

2x2

x

5

11x

5

4.

lim

x 12

4

x

x

4

x

2

2x 8

5.

lim

4

x

x

2

x2

x

2

4

6.

lim

cos x

cos3 x

x2

x

0

e3x

1

sin 5x

7.

lim

1

cos 2x

x

0

8.

lim

2x

1

x

4

2x

3

x

1

9.

lim

12 x

6

x2 1, приx

0

f x

1 x, при0

x 2

2, приx

2

sin 3x

3

1.

lim

2

x

5x

x

2.

lim

1

4x2

x4

x 3x2

2x3

x

3.

lim

5x2

45

3x2

x

3

10x

3

4.

lim

x2

x

12

x

2

4

x

x

3

5.

lim

x2

3x

x

x

6.

lim

cos x

cos3 x

x

tg2x

x

0

7.

lim

sin 6x ctg2x

ctg7x

arcsin 5x

x

0

1.

2x

2

1

1

x

lim

3

x2

x

1

2.

lim

2x2

x

5

7x2

x

2x

3

3.

lim

x3

3x

2

x2

x

1

x

x2

4.

lim

x

x

1

x

1

5.

lim

x2

4x

x2 2x 1

x

6.

lim

sin 5x

x2

x

0 x

7.

lim

ln(1

2x)

arctg3x

sin 8x e3x

x

0

1

8.

lim

x

7

x

2

x

2

x

9.

lim

1

0 x

2

x 3

x

2

x2

1, приx

1

f x

2, xпри1 x

3

x

2, приx

3