Question

$$ lim _ { x ightarrow 0 } \frac { 3 sin x } { x } = $$

Explanation:

Step1: Use the important limit formula

We know that \(\lim_{x
ightarrow0}\frac{\sin x}{x} = 1\).

Step2: Rewrite the given limit

\(\lim_{x
ightarrow0}\frac{3\sin x}{x}=3\lim_{x
ightarrow0}\frac{\sin x}{x}\)

Step3: Substitute the value of the important limit

Since \(\lim_{x
ightarrow0}\frac{\sin x}{x} = 1\), then \(3\lim_{x
ightarrow0}\frac{\sin x}{x}=3\times1\)

Answer:

\(3\)