Q. $\lim_{x \rightarrow 0}{\lbrack(1 + 3x)^{1/x}\rbrack} = k$, then for continuity at $x = 0,\ k$ is
A) 3
B) -3
C) $e^{3}$
D) $e^{- 3}$
Explanation
(c)
Given, $\lim_{x \rightarrow 0}\left\lbrack (1 + 3x)^{\frac{1}{x}} \right\rbrack = k$
$\therefore\ \ \ \ e^{3} = k$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.