Q. $\lim_{x \rightarrow 1}\frac{e^{- x} - e^{- 1}}{x - 1}$ is equal to
A) $\frac{1}{e}$
B) $- \frac{1}{e}$
C) 1
D) None of these
Explanation
(b)
$\lim_{x \rightarrow 1}\frac{e^{- x} - e^{- 1}}{x - 1} = \frac{1}{e}\lim_{x \rightarrow 1}\frac{e^{- (x - 1)} - 1}{x - 1} = - \frac{1}{e}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.