Quiz about PTS : Limit Fungsi Aljabar dan Trigonometri

Question 1

Nilai $$\lim_{x ightarrow\ 0}\ \frac{\cos\ 4x\ -\ 1}{x\ an\ 2x}=\ ....$$

Accepted Answer

4

Answer

2

Answer

-1

Answer

-2

Answer

-4

Question 2

Nilai $$\lim_{ heta ightarrow0}\ \frac{2 heta}{\sin\ 4 heta}$$

Accepted Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{4}$$

Answer

0

Answer

2

Answer

4

Question 3

Nilai $$\lim_{ heta ightarrow0}\ \frac{ an\ 5 heta}{\sin\ 2 heta}\ $$ sama dengan ....

Accepted Answer

$$\frac{5}{2}$$

Answer

$$\frac{3}{2}$$

Answer

2

Answer

$$\frac{2}{3}$$

Answer

$$\frac{2}{5}$$

Question 4

Nilai $$\lim_{ heta ightarrow0}\ \frac{1-\cos\ heta}{ heta^2}$$ sama dengan ....

Accepted Answer

$$\frac{1}{2}$$

Answer

$$-\frac{1}{4}$$

Answer

$$-\frac{1}{2}$$

Answer

0

Answer

$$\frac{1}{4}$$

Question 5

$$\lim_{x\rightarrow0}\ \frac{\sin^22x}{x^2}$$ sama dengan ....

Accepted Answer

4

Answer

1

Answer

2

Answer

6

Answer

8

Question 6

$$\lim_{x\rightarrow\ \frac{\pi}{2}}\ \left(\frac{2x-\pi}{\cos\ x}\right)$$ sama dengan ....

Accepted Answer

-2

Answer

4

Answer

2

Answer

0

Answer

-4

Question 7

$$\lim_{x\rightarrow1}\ \frac{\sin\ \pi x}{x-1}=...$$

Accepted Answer

$$-\pi$$

Answer

-1

Answer

0

Answer

1

Answer

$$\pi$$

Question 8

Nilai dari ekspresi $$\lim_{x\rightarrow\infty}\ \frac{x-\sin\ x}{x}=\ ....$$

Accepted Answer

0

Answer

$$-\infty$$

Answer

-1

Answer

1

Answer

$$\infty$$

Question 9

$$\lim_{x ightarrow0}\ \frac{x^2\ +2x\ }{ an\ x}$$

Accepted Answer

2

Answer

1

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{4}$$

Answer

0

Question 10

Nilai dari ekspresi $$\lim_{x ightarrow0}\ \frac{\cos^2x\ -\ 1}{2\ \sin\ 2x. an\ x}$$ adalah ....

Accepted Answer

$$-\frac{1}{4}$$

Answer

-4

Answer

-2

Answer

-1

Answer

$$-\frac{1}{2}$$

Question 11

Nilai dari ekspresi $$\lim_{ heta ightarrow y0}\ \frac{\sin3 heta\ -\ \sin3 heta\ \cos2 heta\ }{2 heta^3}$$ adalah ....

Accepted Answer

3

Answer

$$\frac{1}{2}$$

Answer

$$\frac{2}{3}$$

Answer

$$\frac{3}{2}$$

Answer

2

Question 12

$$\lim_{x ightarrow0}\ \frac{x. an2x}{1-\cos^2x}\ =\ ....$$

Accepted Answer

2

Answer

$$\frac{1}{4}$$

Answer

$$\frac{1}{2}$$

Answer

1

Answer

4

Question 13

$$\lim_{x\rightarrow0}\ \frac{4x.\cos6x\ -\ 4x}{\left(2x\right)^2.\sin5x}=....$$

Accepted Answer

$$\frac{18}{5}$$

Answer

$$-\frac{18}{5}$$

Answer

$$-\frac{5}{18}$$

Answer

$$\frac{5}{18}$$

Answer

2

Question 14

$$\lim_{x\rightarrow0}\ \frac{\cos6x\ -1}{x.\sin\ \frac{1}{2}x}$$ sama dengan ....

Accepted Answer

36

Answer

9

Answer

0

Answer

-9

Answer

-36

Question 15

$$\lim_{x\rightarrow-3}\ \frac{x^2+6x+9}{2-2\cos\ \left(2x+6\right)}=\ ....$$

Accepted Answer

$$\frac{1}{4}$$

Answer

3

Answer

1

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{3}$$

Question 16

$$\lim_{x\rightarrow\infty}\ \left(\sqrt[]{\left(4x^2-6x\right)}-2x-1\right)$$ adalah ....

Accepted Answer

-2,5

Answer

2,5

Answer

1,5

Answer

0,5

Answer

-0,5

Question 17

$$\lim_{x\rightarrow\infty}\left(\left(2x+1\right)-\sqrt[]{4x^2-3x+6}\right)=\ ....$$

Accepted Answer

$$\frac{7}{4}$$

Answer

$$\frac{3}{4}$$

Answer

1

Answer

2

Answer

$$\frac{5}{2}$$

Question 18

$$\lim_{x\rightarrow\infty}\ \left(\sqrt[]{9x^2+18x-1}-\left(3x-1\right)\right)=...$$

Accepted Answer

2

Answer

1

Answer

$$\frac{1}{2}$$

Answer

$$\frac{1}{4}$$

Answer

4

Question 19

$$\lim_{x\rightarrow\infty}\ \left(\sqrt[]{25-\frac{10}{x}}-\sqrt[]{25+\frac{10}{x}}\right)\ =....$$

Accepted Answer

0

Answer

-2

Answer

-1

Answer

1

Answer

2

Question 20

$$\lim_{x\rightarrow\infty}\ \frac{\sqrt[]{x^2-1}+\sqrt[]{x^2+2}}{\sqrt[]{3x^2+1}+\sqrt[]{3x^2-1}}=\ ....$$

Accepted Answer

$$\frac{1}{3}\sqrt[]{3}$$

Answer

$$\frac{1}{3}$$

Answer

1

Answer

$$\sqrt[]{3}$$

Answer

$$\infty$$

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