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12A4-LIMIT TRIGONOMETRI DI TAK HINGGA

Total questions: 26

Worksheet time: 41mins

Name
Class
Date
1.

Nilai lim⁡x→∞(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 lim⁡x→∞(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 lim⁡x→∞(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 lim⁡x→∞(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 lim⁡x→∞(x−xcos⁡(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 lim⁡x→∞(x2−x2cos⁡(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 lim⁡x→∞(1−sin⁡2(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 lim⁡x→∞  2x(1−cos⁡(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 lim⁡x→∞  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 lim⁡x→∞  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.

lim⁡x→∞(3−3xx+1)=(a)<spanclass=\lim_{x\rightarrow\infty}\left(\frac{3-3x}{x+1}\right)= (a) <span class=  

12.

lim⁡x→∞(3−4x+x2−2x3x3+2x2−1)=(a)<spanclass=\lim_{x\rightarrow\infty}\left(\frac{3-4x+x^2-2x^3}{x^3+2x^2-1}\right)= (a) <span class=  

13.

lim⁡x→∞(2−2x)3(3x+1)(−2x2+2x−5)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.

lim⁡x→∞6x+3x−4x2−9=(a)<spanclass=\lim_{x\rightarrow\infty}\frac{6x+3}{x-\sqrt{4x^2-9}}= (a) <span class=  

15.

lim⁡x→∞3+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.

lim⁡x→∞(2x2x−1−4x2+5)=(a)<spanclass=\lim_{x\rightarrow\infty}\left(\sqrt{2x}\sqrt{2x-1}-\sqrt{4x^2+5}\right)= (a) <span class=  

17.

lim⁡x→∞(x2+3x−x2−5x−1)=(a)<spanclass=\lim_{x\rightarrow\infty}\left(\sqrt{x^2+3x}-\sqrt{x^2-5x-1}\right)= (a) <span class=  

18.

lim⁡x→∞(x(x−1)−(x−6)(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.

lim⁡x→∞(x2+2x−x+1)=(a)<spanclass=\lim_{x\rightarrow\infty}\left(\sqrt{x^2+2x}-x+1\right)= (a) <span class=  

20.

lim⁡x→∞6−12xx2+x+4x2−9=(a)<spanclass=\lim_{x\rightarrow\infty}\frac{6-12x}{\sqrt{x^2+x}+\sqrt{4x^2-9}}= (a) <span class=

21.

lim⁡x→∞(1−1x)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.

lim⁡x→0(1−2x)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.

lim⁡x→∞xsin⁡(2x)=(a)<spanclass=\lim_{x\rightarrow\infty}x\sin\left(\frac{2}{x}\right)= (a) <span class=  

24.

lim⁡x→∞cos⁡(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.

lim⁡x→∞x(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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