Free Printable Limit fungsi irasional

1.

$\lim_{x\rightarrow\infty}\ \left\{\sqrt{x^2+x}-\sqrt{x^2-3x+1}\right\}=...$

a)

$0$

b)

$1$

c)

$2$

d)

$-2$

e)

$\infty$

2.

$\lim_{x\rightarrow\infty}\ \left\{\sqrt{\left(x+5\right)\left(4x+7\right)}-\sqrt{\left(x+3\right)\left(4x+7\right)}\right\}=...$

a)

$-4$

b)

$2$

c)

$4$

d)

$-2$

e)

$3$

3.

$\lim_{x\rightarrow\infty}\ \left(x-\sqrt{x^2-10x}\right)=...$

a)

$-10$

b)

$-5$

c)

$0$

d)

$5$

e)

$10$

4.

$\lim_{x\rightarrow\infty}\ \left(\sqrt{x^2-5x}-\left(x-2\right)\right)=...$

a)

$\infty$

b)

$\frac{1}{2}$

c)

$0$

d)

$-\frac{1}{2}$

e)

$-\frac{9}{2}$

5.

$\lim_{x\rightarrow\infty}\ \left(\left(2x-1\right)-\sqrt{4x^2-6x-5}\right)=...$

a)

$1$

b)

$2$

c)

$4$

d)

$0,5$

e)

$0,25$

6.

$\lim_{x\rightarrow\infty}\ \left[\sqrt{\left(x+a\right)\left(x+b\right)}-x\right]=...$

a)

$\frac{a-b}{2}$

b)

$0$

c)

$\frac{a+b}{2}$

d)

$a+b$

e)

$\infty$

7.

$\lim_{x\rightarrow\infty}\ \sqrt{2x-1}-\sqrt{x+3}=...$

a)

$-2$

b)

$-1$

c)

$0$

d)

$1$

e)

$\infty$

8.

$\lim_{x\rightarrow\infty}\left\{\sqrt{x\left(4x+5\right)}-\sqrt{4x^2-3}\right\}=....$

a)

0

b)

$\frac{1}{2}$

c)

2

d)

$\infty$

e)

$\frac{5}{4}$

9.

$Nilai\ dari\ \lim_{x\rightarrow\infty}\sqrt{x^2-4x+3}-x+1$

a)

-6

b)

-2

c)

0

d)

-1

e)

6

10.

$\lim_{x\rightarrow\infty}\ \left(\sqrt{\left(2x\right)\left(x-1\right)}-\sqrt{x\left(x+3\right)}\right)$ = ...

a)

0

b)

$-\frac{5}{2}\sqrt{2}$

c)

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

d)

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

e)

$\infty$

Limit fungsi irasional

Total questions: 10

Worksheet time: 3hrs 30mins

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