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12A4-LIMIT TRIGONOMETRI DI TAK HINGGA

Total questions: 26

Worksheet time: 41mins

Name
Class
Date
1.

Nilai limx(2cos(3x))=....\lim_{x\rightarrow\infty}\left(2\cos\left(\frac{-3}{x}\right)\right)=....  

a)

2

b)

0

c)

1

d)

-2

e)

-6

2.

Nilai limx(3sin(2x))=....\lim_{x\rightarrow\infty}\left(3\sin\left(\frac{-2}{x}\right)\right)=....  

a)

0

b)

3

c)

1

d)

- 3

e)

- 6

3.

Nilai limx(3xsin(2x))=....\lim_{x\rightarrow\infty}\left(3x\sin\left(\frac{-2}{x}\right)\right)=....  

a)

0

b)

3

c)

1

d)

- 3

e)

- 6

4.

Nilai limx(2 sin(π4+2x))=....\lim_{x\rightarrow\infty}\left(\sqrt{2}\ \sin\left(\frac{\pi}{4}+\frac{2}{x}\right)\right)=....  

a)

0

b)

2

c)

1

d)

- 2

e)

 122\frac{1}{2}\sqrt{2}  

5.

Nilai limx(xxcos(2x))=....\lim_{x\rightarrow\infty}\left(x-x\cos\left(\frac{2}{x}\right)\right)=....  

a)

0

b)

2

c)

1

d)

- 2

e)

6

6.

Nilai limx(x2x2cos(2x))=....\lim_{x\rightarrow\infty}\left(x^2-x^2\cos\left(\frac{2}{x}\right)\right)=....  

a)

0

b)

2

c)

1

d)

- 1

e)

- 2

7.

Nilai limx(1sin2(2x))=....\lim_{x\rightarrow\infty}\left(1-\sin^2\left(\frac{2}{x}\right)\right)=....  

a)

0

b)

2

c)

1

d)

- 2

e)

6

8.

Nilai limx  2x(1cos(6x)sin(9x))=....\lim_{x\rightarrow\infty\ \ }2x\left(\frac{1-\cos\left(\frac{6}{x}\right)}{\sin\left(\frac{9}{x}\right)}\right)=....  

a)

0

b)

- 4

c)

1

d)

4

e)

6

9.

Nilai limx  2x(sin(3x)tan(4x))=....\lim_{x\rightarrow\infty\ \ }2x\left(\sin\left(\frac{3}{x}\right)-\tan\left(\frac{4}{x}\right)\right)=....  

a)

0

b)

- 2

c)

1

d)

2

e)

-1

10.

Nilai limx  2x(cos(3x)cos(1x)sin(4x))=....\lim_{x\rightarrow\infty\ \ }2x\left(\frac{\cos\left(\frac{3}{x}\right)-\cos\left(\frac{1}{x}\right)}{\sin\left(\frac{4}{x}\right)}\right)=....  

a)

0

b)

- 2

c)

1

d)

2

e)

-1

11.

limx(33xx+1)=(a)<spanclass=\lim_{x\rightarrow\infty}\left(\frac{3-3x}{x+1}\right)= (a) <span class=  

12.

limx(34x+x22x3x3+2x21)=(a)<spanclass=\lim_{x\rightarrow\infty}\left(\frac{3-4x+x^2-2x^3}{x^3+2x^2-1}\right)= (a) <span class=  

13.

limx(22x)3(3x+1)(2x2+2x5)2=(a)<spanclass=\lim_{x\rightarrow\infty}\frac{\left(2-2x\right)^3\left(3x+1\right)}{\left(-2x^2+2x-5\right)^2}= (a) <span class=  

14.

limx6x+3x4x29=(a)<spanclass=\lim_{x\rightarrow\infty}\frac{6x+3}{x-\sqrt{4x^2-9}}= (a) <span class=  

15.

limx3+6xx(x+2)4x2+9=(a)<spanclass=\lim_{x\rightarrow\infty}\frac{3+6x}{\sqrt{x\left(x+2\right)}-\sqrt{4x^2+9}}= (a) <span class=  

16.

limx(2x2x14x2+5)=(a)<spanclass=\lim_{x\rightarrow\infty}\left(\sqrt{2x}\sqrt{2x-1}-\sqrt{4x^2+5}\right)= (a) <span class=  

17.

limx(x2+3xx25x1)=(a)<spanclass=\lim_{x\rightarrow\infty}\left(\sqrt{x^2+3x}-\sqrt{x^2-5x-1}\right)= (a) <span class=  

18.

limx(x(x1)(x6)(x+1))=(a)<spanclass=\lim_{x\rightarrow\infty}\left(\sqrt{x\left(x-1\right)}-\sqrt{\left(x-6\right)\left(x+1\right)}\right)= (a) <span class=  

19.

limx(x2+2xx+1)=(a)<spanclass=\lim_{x\rightarrow\infty}\left(\sqrt{x^2+2x}-x+1\right)= (a) <span class=  

20.

limx612xx2+x+4x29=(a)<spanclass=\lim_{x\rightarrow\infty}\frac{6-12x}{\sqrt{x^2+x}+\sqrt{4x^2-9}}= (a) <span class=

21.

limx(11x)x=....\lim_{x\rightarrow\infty}\left(1-\frac{1}{x}\right)^x=....  

a)

e

b)

-e

c)

1e\frac{1}{e}  

d)

1

e)

\infty  

22.

limx0(12x)1x=....\lim_{x\rightarrow0}\left(1-2x\right)^{\frac{1}{x}}=....  

a)

1e2\frac{1}{e^2}  

b)

2e

c)

2e\frac{2}{e}  

d)

2

e)

e2e^2  

23.

limxxsin(2x)=(a)<spanclass=\lim_{x\rightarrow\infty}x\sin\left(\frac{2}{x}\right)= (a) <span class=  

24.

limxcos(6x)1tan(5x)=(a)<spanclass=\lim_{x\rightarrow\infty}\frac{\cos\left(\frac{6}{x}\right)-1}{\tan\left(\frac{5}{x}\right)}= (a) <span class=  

25.

limxx(cos(5x)cos(1x)sin(2x))=(a)<spanclass=\lim_{x\rightarrow\infty}x\left(\frac{\cos\left(\frac{5}{x}\right)-\cos\left(\frac{1}{x}\right)}{\sin\left(\frac{2}{x}\right)}\right)= (a) <span class=  

26.

Tuliskan Namamu

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