Free Printable Limit of trigonometric functions at apoint

1.

$\lim_{x\rightarrow0}\ \frac{\sin x}{x}=$

a)

x

b)

1

c)

0

d)

-1

2.

$\left(2A\right)\ \lim_{x\rightarrow0}\ \frac{\sin\ 2x}{3x}=$

a)

3

b)

2

c)

$\frac{3}{2}$

d)

$\frac{2}{3}$

3.

2B) $\lim_{x\rightarrow0\ }\ \frac{2x}{\sin7x}$

a)

$\frac{7}{2}$

b)

$\frac{2}{7}$

c)

2

d)

7

4.

Result- $\lim_{x\rightarrow0}\ \frac{\tan x}{x}=$

a)

0

b)

x

c)

1

d)

2

5.

Result - $\lim_{x\rightarrow0}\ \frac{\sin ax}{bx}$

a)

a

b)

b

c)

$\frac{b}{a}$

d)

$\frac{a}{b}$

6.

$\lim_{x\rightarrow0\ }\ \frac{\tan ax}{bx}$

a)

a

b)

b

c)

$\frac{a}{b}$

d)

$\frac{b}{a}$

7.

$\lim_{x\rightarrow0}\ \frac{\tan3x}{7x}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ احسب\ نهاية\ \$ مثال 3

a)

$\frac{7}{3}$

b)

3

c)

7

d)

$\frac{3}{7}$

8.

$\lim_{x\rightarrow0}\ \frac{5x^2-7x+3\sin x}{2x}$ مثال 3 احسب نهاية ما يلي

a)

2

b)

-2

c)

3

d)

-3

9.

$\lim_{x\rightarrow0}\ \frac{\sin^25x}{2x^2}$ مثال 3 احسب نهاية

a)

$\frac{25}{4}$

b)

$\frac{25}{2}$

c)

$\frac{5}{2}$

d)

$\frac{5}{4}$

10.

$\left(3A\right)\ \lim_{x\rightarrow0}\ \frac{4x}{\tan5x}$

a)

4

b)

5

c)

$\frac{5}{4}$

d)

$\frac{4}{5}$

11.

$\left(3B\right)\ \lim_{x\rightarrow0}\ \frac{x+x\cos x}{\sin x\ \cos x}$

a)

2

b)

1

c)

0

d)

-1

12.

$\left(3C\right)\ \lim_{x\rightarrow0}\ \frac{\sin^23x}{5x^2}$

a)

9

b)

5

c)

$\frac{5}{9}$

d)

$\frac{9}{5}$

13.

$Q\left(8\right)\ \lim_{x\rightarrow0}\ \frac{\sin x\ \cos x}{x}$

a)

1

b)

0

c)

-1

d)

-2

14.

$Q\left(12\right)\ \lim_{x\rightarrow0\ }\ \frac{\sin x}{x+\tan x}$

a)

$\frac{1}{2}$

b)

0

c)

1

d)

2

15.

Q(34)
أوجد

\lim_{x\rightarrow0\ }\ \frac{3\sin5x}{2x}

a)

$\frac{5}{2}$

b)

$\frac{2}{5}$

c)

$\frac{15}{2}$

d)

$\frac{2}{15}$

Limit of trigonometric functions at apoint

Total questions: 15

Worksheet time: 21mins

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