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Worksheets

UH 1 LIMIT FUNGSI TRIGONOMETRI

Total questions: 25

Worksheet time: 30mins

Name
Class
Date
1.
a)

6

b)

3

c)

2

d)

1

e)

0

2.
a)

12

b)

4

c)

3

d)

1

e)

0

3.
a)

6

b)

3

c)

2

d)

1

e)

0

4.

lim⁡x→0 sin⁡ 3x−sin⁡ 2x4x=...\lim_{x\rightarrow0}\ \frac{\sin\ 3x-\sin\ 2x}{4x}=...  

a)

3/4

b)

1/2

c)

1/4

d)

0

5.

lim⁡x→0 2sin⁡ 2x3 tan⁡ 3x=...\lim_{x\rightarrow0}\ \frac{2\sin\ 2x}{3\ \tan\ 3x}=...  

a)

2/3

b)

1

c)

1/3

d)

4/9

6.

lim⁡x→0 x tan⁡ 3xsin⁡2 6x=...\lim_{x\rightarrow0}\ \frac{x\ \tan\ 3x}{\sin^2\ 6x}=...  

a)

1/6

b)

1/3

c)

1/12

d)

3/9

7.

lim⁡x→1 (x2−1).2( x−1)−2 sin⁡2 (x−1)=...\lim_{x\rightarrow1}\ \frac{\left(x^2-1\right).2\left(\ x-1\right)}{-2\ \sin^2\ \left(x-1\right)}=...  

a)

-1

b)

-2

c)

-1/2

d)

1

8.

lim⁡x→ π4 cos⁡ 2xcos⁡ x −sin⁡ x=...\lim_{x\rightarrow\ \frac{\pi}{4}}\ \frac{\cos\ 2x}{\cos\ x\ -\sin\ x}=...  

a)

-1

b)

-2

c)

2\sqrt{2}  

d)

1

9.

Nilai dari lim⁡x→1(tan⁡(x−1)x3−1)\lim_{x\rightarrow1}\left(\frac{\tan\left(x-1\right)}{x^3-1}\right)  adalah ....

a)

13\frac{1}{3}  

b)

−13-\frac{1}{3}  

c)

1

d)

-1

e)

12\frac{1}{2}  

10.

Nilai dari lim⁡x→π12tan⁡ 2xtan⁡ 3x\lim_{x\rightarrow\frac{\pi}{12}}\frac{\tan\ 2x}{\tan\ 3x}  adalah ...

a)

3

b)

3\sqrt{3}  

c)

133\frac{1}{3}\sqrt{3}  

d)

123\frac{1}{2}\sqrt{3}  

e)

1

11.

lim⁡x→2 sin⁡(πx)x2−4=...\lim_{x\rightarrow2}\ \frac{\sin\left(\pi x\right)}{x^2-4}=...  

a)

0

b)

1

c)

-1

d)

2

12.

lim⁡x→∞ 3x2+52x2+7=...\lim_{x\rightarrow\infty}\ \frac{3x^2+5}{2x^2+7}=...  

a)

0

b)

3/2

c)

5/7

d)

1

13.

lim⁡x→0 tan⁡(5x)sin⁡(2x)=...\lim_{x\rightarrow0}\ \frac{\tan\left(5x\right)}{\sin\left(2x\right)}=...  

a)

5/2

b)

2/5

c)

1

d)

0

14.

lim⁡x→3 x−3x−3=...\lim_{x\rightarrow3}\ \frac{\sqrt{x}-\sqrt{3}}{x-3}=...  

a)

0

b)

1/6

c)

1/3

d)

1

15.

lim⁡x→0 sin⁡(4x)x=...\lim_{x\rightarrow0}\ \frac{\sin(4x)}{x}=...  

a)

4

b)

1

c)

0

d)

2

16.

lim⁡x→1 ln⁡(x)x−1=...\lim_{x\rightarrow1}\ \frac{\ln(x)}{x-1}=...  

a)

0

b)

1

c)

-1

d)

<1

17.

lim⁡x→0 sin⁡(7x)x=...\lim_{x\rightarrow0}\ \frac{\sin(7x)}{x}=...  

a)

7

b)

1

c)

0

d)

2

18.

lim⁡x→2 x−2x−2=...\lim_{x\rightarrow2}\ \frac{\sqrt{x}-\sqrt{2}}{x-2}=...  

a)

0

b)

1/2

c)

1/4

d)

1

19.

lim⁡x→∞ 5x3+2x3x3+4=...\lim_{x\rightarrow\infty}\ \frac{5x^3+2x}{3x^3+4}=...  

a)

0

b)

5/3

c)

1

d)

<1

20.

lim⁡x→0 tan⁡(5x)−tan⁡(3x)x=...\lim_{x\rightarrow0}\ \frac{\tan(5x)-\tan(3x)}{x}=...  

a)

5/3

b)

2/5

c)

1

d)

0

21.

Nilai dari lim⁡x→4(x−2x−4)\lim_{x\rightarrow4}\left(\frac{\sqrt{x}-2}{x-4}\right)  adalah ....

a)

0

b)

1/4

c)

1/2

d)

1

22.

lim⁡x→5 x−5x−5=...\lim_{x\rightarrow5}\ \frac{\sqrt{x}-\sqrt{5}}{x-5}=...  

a)

0

b)

1/10

c)

1/5

d)

1

23.

lim⁡x→0 sin⁡(2x)−sin⁡(3x)x=...\lim_{x\rightarrow0}\ \frac{\sin(2x)-\sin(3x)}{x}=...  

a)

-1

b)

1

c)

1/2

d)

3/2

24.

lim⁡x→2 tan⁡(3x)−tan⁡(6)x−2=...\lim_{x\rightarrow2}\ \frac{\tan(3x)-\tan(6)}{x-2}=...  

a)

0

b)

3

c)

3/2

d)

1

25.

lim⁡x→0 cos⁡(3x)−cos⁡(0)x=...\lim_{x\rightarrow0}\ \frac{\cos(3x)-\cos(0)}{x}=...  

a)

0

b)

-3

c)

3

d)

1