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Limit fungsi Trigonometri Mendekati Takhingga

Authored by Wahyu Prasetyo Wibowo

Mathematics

12th Grade

CCSS covered

Used 3+ times

Limit fungsi Trigonometri Mendekati Takhingga
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13 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 limx3 sin 3xtan 43x= ....\lim_{x\rightarrow\infty}3\ \frac{\sin\ \frac{3}{x}}{\tan\ \frac{4}{3x}}=\ ....  

9

 274\frac{27}{4}  

 912\frac{9}{12} 

4

 129\frac{12}{9}  

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 limx4x sin (35x)=....\lim_{x\rightarrow\infty}4x\ \sin\ \left(\frac{3}{5x}\right)=....  

 35\frac{3}{5}  

 1220\frac{12}{20}  

 125\frac{12}{5}  

 320\frac{3}{20}  

 45\frac{4}{5}  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 limxx2(1cos 2x)=....\lim_{x\rightarrow\infty}x^2\left(1-\cos\ \frac{2}{x}\right)=....  

2

 2-2  

0

 \infty  

 -\infty  

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 limx 2x cot 2x3cot 2x5x22x=....\lim_{x\rightarrow\infty}\ \frac{2x\ \cot\ \frac{2}{x}-3\cot\ \frac{2}{x}}{5x^2-2x}=....  

0

 25\frac{2}{5}  

 15\frac{1}{5}  

 52\frac{5}{2}  

 210\frac{2}{10}  

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 limxθ cot (12x)csc (3x)=....\lim_{x\rightarrow\theta}\ \frac{\cot\ \left(\frac{1}{2x}\right)}{\csc\ \left(\frac{3}{x}\right)}=....  

1,5

3

6

 12\frac{1}{2}  

 \frac{1}{6}  

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 limx3 sin 3xtan 43x= ....\lim_{x\rightarrow\infty}3\ \frac{\sin\ \frac{3}{x}}{\tan\ \frac{4}{3x}}=\ ....  

9

 274\frac{27}{4}  

 912\frac{9}{12} 

4

 129\frac{12}{9}  

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 limθ sin2θθ25= ....\lim_{\theta\rightarrow\infty}\ \frac{\sin^2\theta}{\theta^2-5}=\ ....  

1

0

5

25

 \infty  

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