Functions Question 125

Question: $ \underset{x\to 0}{\mathop{\lim }},\frac{\sin 3x+\sin x}{x} $ =

[AISSE 1986]

Options:

A) $ \frac{1}{3} $

B) 3

C) 4

D) $ \frac{1}{4} $

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Answer:

Correct Answer: C

Solution:

$ \underset{x\to 0}{\mathop{\lim }}3.\frac{\sin ,3x}{3x}+\underset{x\to 0}{\mathop{\lim }}\frac{\sin ,x}{x}=3+1=4. $