Free Printable Limit tak hingga aljabar dan trigonometri

1.

$\lim_{x\rightarrow\infty}4x\ \sin\ \left(\frac{3}{5x}\right)=....$

a)

$\frac{3}{5}$

b)

$\frac{12}{20}$

c)

$\frac{12}{5}$

d)

$\frac{3}{20}$

e)

$\frac{4}{5}$

2.

$\lim_{x\rightarrow\infty}x^2\left(1-\cos\ \frac{2}{x}\right)=....$

a)

2

b)

$-2$

c)

0

d)

$\infty$

e)

$-\infty$

3.

$\lim_{x\rightarrow\theta}\ \frac{\cot\ \left(\frac{1}{2x}\right)}{\csc\ \left(\frac{3}{x}\right)}=....$

a)

1,5

b)

3

c)

6

d)

$\frac{1}{2}$

e)

$\frac{1}{6}$

4.

a)

$2\sqrt{3}-2$

b)

$3\sqrt{2}$

c)

$3\sqrt{2}-2$

d)

$3\sqrt{2}-3$

e)

$2\sqrt{3}-2$

5.

Nilai dari

\lim_{x\rightarrow\infty}\ \frac{16x-4}{\sqrt{32x^2-2}}adalah...

a)

$4\sqrt{2}$

b)

$2\sqrt{2}$

c)

$\frac{1}{4}\sqrt{2}$

d)

$\frac{1}{8}\sqrt{2}$

e)

$\frac{1}{16}\sqrt{2}$

6.

Nilai dari

\lim_{x\rightarrow\infty}\sqrt{9x^2+5x+5}\ \ -\sqrt{9x^2-7x-4}

a)

3

b)

2

c)

1

d)

$\frac{1}{3}$

e)

0

7.

Nilai dari

\lim_{x\rightarrow\infty}\ \sqrt{25x^2-6x-1}\ -\left(5x+1_{ }\right)

a)

6

b)

2

c)

$\frac{-2}{5}$

d)

$\frac{-8}{5}$

e)

$\frac{-16}{5}$

8.

\lim_{x\rightarrow\sim}\ \frac{\sin^3\ \left(\frac{2}{x}\right)}{\tan^3\ \left(\frac{1}{2x}\right)}=....

a)

$2^7$

b)

$2^6$

c)

$2^5$

d)

$2^4$

e)

$2^3$

9.

Nilai

\lim_{x\rightarrow\infty}\ \frac{3\sin^2\frac{6}{x}}{\sin\frac{4}{x}\tan\ \frac{3}{x}}

a)

9

b)

3

c)

$\frac{9}{2}$

d)

$\frac{3}{x}$

e)

$\frac{1}{2}$

10.

Nilai dari $\lim_{x\rightarrow\infty}\ \frac{\left(3x-2\right)^3}{\left(4x+3\right)^3}=...$

a)

$1$

b)

$\frac{27}{64}$

c)

$\frac{8}{27}$

d)

$-\frac{8}{27}$

e)

$-\frac{27}{64}$

Limit tak hingga aljabar dan trigonometri

Total questions: 10

Worksheet time: 2hrs 40mins

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