Q. $\lim_{x \rightarrow \infty}{x\sin\left( \frac{2}{x} \right)}$ is equal to
A) $\infty$
B) 0
C) 2
D) $\frac{1}{2}$
Explanation
(c)
$\lim_{x \rightarrow \infty}{x\sin\left( \frac{2}{x} \right)} = \lim_{x \rightarrow \infty}\frac{\sin\left( \frac{2}{x} \right)}{\frac{1}{2}\left( \frac{2}{x} \right)} = 2$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.