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Question: Answered & Verified by Expert
\(\lim _{x \rightarrow 0} \frac{\sin \left(\pi \sin ^2 x\right)}{x^2}=\)
MathematicsLimitsWBJEEWBJEE 2011
Options:
  • A \(\pi^2\)
  • B \(3 \pi\)
  • C \(2 \pi\)
  • D \(\pi\)
Solution:
2565 Upvotes Verified Answer
The correct answer is: \(\pi\)
\(\begin{aligned}
& \text {Hints : }=\operatorname{Lt}_{x \rightarrow 0} \frac{\sin \left(\pi \sin ^2 x\right)}{x^2}=\pi_{x \rightarrow 0} \frac{\sin ^2 x}{x^2}=\pi \\
& =\pi
\end{aligned}\)

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