− 1 2 3 -\frac{1}{2}\sqrt{3} − 2 1 3 <path d="M 95 702 c -2.7 0 -7.17 -2.7 -13.5 -8 c -5.8 -5.3 -9.5 -10 -9.5 -14 c 0 -2 0.3 -3.3 1 -4 c 1.3 -2.7 23.83 -20.7 67.5 -54 c 44.2 -33.3 65.8 -50.3 66.5 -51 c 1.3 -1.3 3 -2 5 -2 c 4.7 0 8.7 3.3 12 10 s 173 378 173 378 c 0.7 0 35.3 -71 104 -213 c 68.7 -142 137.5 -285 206.5 -429 c 69 -144 104.5 -217.7 106.5 -221 c 5.3 -9.3 12 -14 20 -14 H 400000 v 40 H 845.272 s -225.272 467 -225.272 467 s -235 486 -235 486 c -2.7 4.7 -9 7 -19 7 c -6 0 -10 -1 -12 -3 s -194 -422 -194 -422 s -65 47 -65 47 Z M 834 80 H 400000 v 40 H 845 Z" />

1 3 3 \frac{1}{3}\sqrt{3} 3 1 3 <path d="M 95 702 c -2.7 0 -7.17 -2.7 -13.5 -8 c -5.8 -5.3 -9.5 -10 -9.5 -14 c 0 -2 0.3 -3.3 1 -4 c 1.3 -2.7 23.83 -20.7 67.5 -54 c 44.2 -33.3 65.8 -50.3 66.5 -51 c 1.3 -1.3 3 -2 5 -2 c 4.7 0 8.7 3.3 12 10 s 173 378 173 378 c 0.7 0 35.3 -71 104 -213 c 68.7 -142 137.5 -285 206.5 -429 c 69 -144 104.5 -217.7 106.5 -221 c 5.3 -9.3 12 -14 20 -14 H 400000 v 40 H 845.272 s -225.272 467 -225.272 467 s -235 486 -235 486 c -2.7 4.7 -9 7 -19 7 c -6 0 -10 -1 -12 -3 s -194 -422 -194 -422 s -65 47 -65 47 Z M 834 80 H 400000 v 40 H 845 Z" />

1 2 3 \frac{1}{2}\sqrt{3} 2 1 3 <path d="M 95 702 c -2.7 0 -7.17 -2.7 -13.5 -8 c -5.8 -5.3 -9.5 -10 -9.5 -14 c 0 -2 0.3 -3.3 1 -4 c 1.3 -2.7 23.83 -20.7 67.5 -54 c 44.2 -33.3 65.8 -50.3 66.5 -51 c 1.3 -1.3 3 -2 5 -2 c 4.7 0 8.7 3.3 12 10 s 173 378 173 378 c 0.7 0 35.3 -71 104 -213 c 68.7 -142 137.5 -285 206.5 -429 c 69 -144 104.5 -217.7 106.5 -221 c 5.3 -9.3 12 -14 20 -14 H 400000 v 40 H 845.272 s -225.272 467 -225.272 467 s -235 486 -235 486 c -2.7 4.7 -9 7 -19 7 c -6 0 -10 -1 -12 -3 s -194 -422 -194 -422 s -65 47 -65 47 Z M 834 80 H 400000 v 40 H 845 Z" />

lim ⁡ x → 0 7 sin ⁡ x cos ⁡ x 2 x \lim_{x\rightarrow0}\ \frac{7\ \sin\ x\ \cos\ x}{2x} x → 0 lim 2 x 7 sin x cos x

− 7 2 x -\frac{7}{2}x − 2 7 x

H a s i l d a r i lim ⁡ x → 1 2 π sin ⁡ x cos ⁡ 1 2 x = Hasil\ dari\ \lim_{x\rightarrow\ \frac{1}{2}\pi}\ \frac{\sin\ x}{\cos\ \frac{1}{2}x}= H a s i l d a r i x → 2 1 π lim cos 2 1 x sin x =

2 2 2\sqrt{2} 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

1 2 2 \frac{1}{2}\sqrt{2} 2 1 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 \sqrt{2} 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 3 2\sqrt{3} 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 3 3\sqrt{3} 3 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

LIMIT tRIGONOMETRI Quiz

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Tentukan Nilai dari $\lim_{x\rightarrow0}\ \frac{1-\cos\ 2x}{x\tan2x}$ adalah . . .

-2

-1

0

1

2

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Tentukan nilai lim dari $\lim_{x\rightarrow3}\ \frac{x\tan\ \left(2x-6\right)}{\sin\left(x-3\right)}$ adalah . . .

5

6

7

8

9

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tentukan nilai dari $\lim_{x\rightarrow y0}\ \frac{1-\cos\ 4x}{x\sin x}$ adalah . . .

2

$\frac{3}{2}$

1

$\frac{1}{2}$

0

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Sin 150

$-\frac{1}{2}\sqrt{3}$

$-\frac{1}{2}$

$\frac{1}{2}$

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

$\frac{1}{2}\sqrt{3}$

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Nilai dari Tan 300 adalah ...

$-\sqrt{3}$

$-\frac{1}{3}\sqrt{3}$

$1$

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

$\sqrt{3}$

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$\lim_{x\rightarrow0}\ \frac{\sin\ \frac{1}{3}x}{x}$

-3

$-\frac{1}{3}$

$0$

$\frac{1}{3}$

3

$\lim_{x\rightarrow0}\ \frac{7\ \sin\ x\ \cos\ x}{2x}$

$-\frac{7}{2}x$

$-\ 3,5$

$\frac{7}{2}$

7

2

8.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\lim_{x\rightarrow0}\ \frac{1-\cos\ 5x}{2x\sin x}$

12,5

6,25

5

2,5

1

9.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\lim_{x\rightarrow\ \frac{\pi}{2}}\ \frac{5\cos\ x}{\left(x-\frac{\pi}{2}\right)}$

-10

-5

-1

1

5

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$\lim_{x\rightarrow0}\ \frac{1-\cos\ 5x}{2x\sin x}$

12,5

6,25

5

2,5

1

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LIMIT tRIGONOMETRI

Tentukan Nilai dari lim⁡x→0 1−cos⁡ 2xxtan⁡2x\lim_{x\rightarrow0}\ \frac{1-\cos\ 2x}{x\tan2x}x→0lim​ xtan2x1−cos 2x​ adalah . . .

Tentukan nilai lim dari lim⁡x→3 xtan⁡ (2x−6)sin⁡(x−3)\lim_{x\rightarrow3}\ \frac{x\tan\ \left(2x-6\right)}{\sin\left(x-3\right)}x→3lim​ sin(x−3)xtan (2x−6)​ adalah . . .

Tentukan nilai dari lim⁡x→y0 1−cos⁡ 4xxsin⁡x\lim_{x\rightarrow y0}\ \frac{1-\cos\ 4x}{x\sin x}x→y0lim​ xsinx1−cos 4x​ adalah . . .

Sin 150

Nilai dari Tan 300 adalah ...

lim⁡x→0 sin⁡ 13xx\lim_{x\rightarrow0}\ \frac{\sin\ \frac{1}{3}x}{x}x→0lim​ xsin 31​x​

lim⁡x→0 7 sin⁡ x cos⁡ x2x\lim_{x\rightarrow0}\ \frac{7\ \sin\ x\ \cos\ x}{2x}x→0lim​ 2x7 sin x cos x​

lim⁡x→0 1−cos⁡ 5x2xsin⁡x\lim_{x\rightarrow0}\ \frac{1-\cos\ 5x}{2x\sin x}x→0lim​ 2xsinx1−cos 5x​

lim⁡x→ π2 5cos⁡ x(x−π2)\lim_{x\rightarrow\ \frac{\pi}{2}}\ \frac{5\cos\ x}{\left(x-\frac{\pi}{2}\right)}x→ 2π​lim​ (x−2π​)5cos x​

lim⁡x→0 1−cos⁡ 5x2xsin⁡x\lim_{x\rightarrow0}\ \frac{1-\cos\ 5x}{2x\sin x}x→0lim​ 2xsinx1−cos 5x​

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Tentukan Nilai dari $\lim_{x\rightarrow0}\ \frac{1-\cos\ 2x}{x\tan2x}$ adalah . . .

Tentukan nilai lim dari $\lim_{x\rightarrow3}\ \frac{x\tan\ \left(2x-6\right)}{\sin\left(x-3\right)}$ adalah . . .

Tentukan nilai dari $\lim_{x\rightarrow y0}\ \frac{1-\cos\ 4x}{x\sin x}$ adalah . . .

$\lim_{x\rightarrow0}\ \frac{\sin\ \frac{1}{3}x}{x}$

$\lim_{x\rightarrow0}\ \frac{7\ \sin\ x\ \cos\ x}{2x}$

$\lim_{x\rightarrow0}\ \frac{1-\cos\ 5x}{2x\sin x}$

$\lim_{x\rightarrow\ \frac{\pi}{2}}\ \frac{5\cos\ x}{\left(x-\frac{\pi}{2}\right)}$

$\lim_{x\rightarrow0}\ \frac{1-\cos\ 5x}{2x\sin x}$