$$ lim _ { x \rightarrow 0 } \frac { 3 sin x } { x } = $$
$$ lim _ { x \rightarrow 0 } \frac { 3 sin x } { x } = $$
Answer
Explanation:
Step1: Use the important limit formula
We know that (\lim_{x\rightarrow0}\frac{\sin x}{x} = 1).
Step2: Rewrite the given limit
(\lim_{x\rightarrow0}\frac{3\sin x}{x}=3\lim_{x\rightarrow0}\frac{\sin x}{x})
Step3: Substitute the value of the important limit
Since (\lim_{x\rightarrow0}\frac{\sin x}{x} = 1), then (3\lim_{x\rightarrow0}\frac{\sin x}{x}=3\times1)
Answer:
(3)