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Limit Trigonometri

Authored by AI Airyn

Mathematics

12th Grade

Used 699+ times

Limit Trigonometri
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10 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 limx02 sin 2xcos x \lim_{x\rightarrow0}\frac{2\ \sin\ 2x}{\cos\ x}\   

0

1

2

3

 \infty  

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 limx0sin 5x  sin 3x2x\lim_{x\rightarrow0}\frac{\sin\ 5x\ -\ \sin\ 3x}{2x}  

 12\frac{1}{2}  

 11  

 00  

 14\frac{1}{4}  

 \infty  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 limx0sin 2x tan 4x4x  sin 4x\lim_{x\rightarrow0}\frac{\sin\ 2x\ \tan\ 4x}{4x\ \ \sin\ 4x}  

1

0

2

 \infty  

 12\frac{1}{2}  

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 limx30o4 sin x + 3 cos 3x3 tan x\lim_{x\rightarrow30^o}\frac{4\ \sin\ x\ +\ 3\ \cos\ 3x}{3\ \tan\ x}  

 53\frac{5}{\sqrt{3}}  

 43\frac{4}{\sqrt{3}}  

 3\sqrt{3}  

 23\frac{2}{\sqrt{3}}  

 133\frac{1}{3}\sqrt{3}  

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 limx45osin2x  cos2xsinx  cos x\lim_{x\rightarrow45^o}\frac{\sin^2x\ -\ \cos^2x}{\sin x\ -\ \cos\ x}  

 12\frac{1}{2}  

 122\frac{1}{2}\sqrt{2}  

 2\sqrt{2}  

 11  

 3\sqrt{3}  

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 limx0cos 6x  14x tan 3x\lim_{x\rightarrow0}\frac{\cos\ 6x\ -\ 1}{4x\ \tan\ 3x}  

- 3

-1 

0

1

3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 limx0cos 2x  cos 4xsin x tan 3x\lim_{x\rightarrow0}\frac{\cos\ 2x\ -\ \cos\ 4x}{\sin\ x\ \tan\ 3x}  

1

-1

 32\frac{3}{2}  

 32-\frac{3}{2}  

0

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