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