_ x 0 3 x- 3 x x^3 = - Vidyadip

MCQ

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

✓
4
B
-4
C
$\frac{1}{4}$
D
$-\frac{1}{4}$

✓

Answer

Correct option: A.

4

(A)
$\lim _{x \rightarrow 0} \frac{3 \sin x-\sin 3 x}{x^3}=\lim _{x \rightarrow 0} \frac{4 \sin ^3 x}{x^3}=4$

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