Free Printable Limit Trigonometri part1

1.

Evaluate $\lim_{x\rightarrow0}\ \frac{3x}{\sin\ 4x}=\ ...$

a)

$\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$1$

d)

$\frac{2}{3}$

e)

$0$

2.

Evaluate $\lim_{x\rightarrow0}\ \frac{\sin\ 5x}{2x}=\ ...$

a)

$\frac{5}{2}$

b)

$\frac{2}{5}$

c)

$\frac{1}{5}$

d)

$\frac{1}{2}$

e)

$1$

3.

Evaluate $\lim_{x\rightarrow0}\ \frac{\sin\ 3x\ -\ \sin\ 2x}{4x}=\ ...$

a)

1

b)

$\frac{1}{4}$

c)

$\frac{2}{3}$

d)

$-\frac{1}{4}$

e)

$\frac{1}{2}$

4.

Evaluate $\lim_{x\rightarrow0}\ \frac{2\sin\ 2x}{3\ \tan\ 3x}=\ ...$

a)

$\frac{1}{9}$

b)

$\frac{2}{3}$

c)

$\frac{4}{9}$

d)

$\frac{9}{4}$

e)

$\frac{3}{2}$

5.

Evaluate $\lim_{x\rightarrow0}\ \frac{1-\cos\ 2x}{2x\ \sin\ 2x}=\ ...$

a)

$2$

b)

$1$

c)

$\frac{1}{2}$

d)

$0$

e)

$\frac{1}{4}$

6.

Evaluate $\lim_{x\rightarrow0}\ \frac{3x\ \tan\ 2x}{1-\cos\ 4x}=...$

a)

$\frac{3}{2}$

b)

$\frac{2}{3}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

e)

$\frac{3}{8}$

7.

Evaluate $\lim_{x\rightarrow0}\ \frac{6x\ \tan\ 2x}{1-\cos\ 6x}$ =...

a)

$\frac{6}{3}$

b)

$\frac{2}{3}$

c)

$\frac{3}{6}$

d)

$\frac{1}{3}$

e)

$\frac{3}{2}$

8.

Find the value of $a$ satisfy $\lim_{x\rightarrow0}\ \frac{x\tan\ ax}{\sin^2\ 6x}=\frac{1}{12}$

a)

2

b)

3

c)

6

d)

$\frac{1}{3}$

e)

$\frac{1}{6}$

9.

Evaluate $\lim_{x\rightarrow\pi}\ \sin\ \frac{\pi}{2}=...$

a)

$-\frac{1}{2}$

b)

$0$

c)

$\frac{1}{2}$

d)

$1$

e)

$\infty$

10.

Evaluate $\lim_{x\rightarrow0}\ \frac{2\sin\ x\ \cos\ x}{\tan\ 5x}=...$

a)

$\frac{1}{5}$

b)

$\frac{2}{5}$

c)

$\frac{3}{5}$

d)

$-\frac{2}{5}$

e)

$-\frac{1}{5}$

Limit Trigonometri part1

Total questions: 10

Worksheet time: 25mins

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