Search any question & find its solution
Question:
Answered & Verified by Expert
$\lim _{x \rightarrow 0} x^2 \sin \frac{\pi}{x}$ is equal to
Options:
Solution:
1560 Upvotes
Verified Answer
The correct answer is:
0
$\begin{aligned} & \lim _{x \rightarrow 0} x^2 \sin \left(\frac{\pi}{x}\right) \\ &=\lim _{x \rightarrow 0} \pi x \cdot \frac{\sin \frac{\pi}{x}}{\frac{\pi}{x}}=0(1)=0\end{aligned}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.