Q. The value of $\lim_{x \rightarrow 7}\frac{2 - \sqrt{x - 3}}{x^{2} - 49}$ is

A) 2/9
B) -2/49
C) 1/64
D) -1/56
Explanation

(d)
$\lim_{x \rightarrow 7}\frac{2 - \sqrt{x - 3}}{x^{2} - 49} = \lim_{x \rightarrow 7}\frac{- \frac{1}{2\sqrt{x - 3}}}{2x}$
$= - \frac{1}{4.7.2} = - \frac{1}{56}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.