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