Functions Question 133

Question: $ \underset{x\to 0}{\mathop{lim}},\frac{x^{3}}{\sin x^{2}}= $

[AISSE 1984; AI CBSE 1984]

Options:

A) 0

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

C) 3

D) $ \frac{1}{2} $

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Answer:

Correct Answer: A

Solution:

$ \underset{x\to 0}{\mathop{\lim }},\frac{x^{2}}{\sin x^{2}}.\underset{x\to 0}{\mathop{\lim }}x,=0. $