lim _x arrow 0 (sin 3 x-sin x)/(sin x) is

Correct answer: (B) 2. lim _x arrow 0 (sin 3 x-sin x)/(sin x) =lim _x arrow 0 (2 cos 2 x sin x)/(sin x)=2

Q99 / 170 · Manipal (MET) 2017 · Mathematics

$\lim _{x \rightarrow 0} \frac{\sin 3 x-\sin x}{\sin x}$ is

A
-2
Correct answer
B
2
C
0
D
None of these

Solution

$\begin{aligned} & \lim _{x \rightarrow 0} \frac{\sin 3 x-\sin x}{\sin x} \\ &=\lim _{x \rightarrow 0} \frac{2 \cos 2 x \sin x}{\sin x}=2\end{aligned}$

Hence, the correct answer is option: 'B'.

$\lim _{x \rightarrow 0} \frac{\sin 3 x-\sin x}{\sin x}$ is

Solution

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