46th B.P.S.C. (Pre) 2004
The value of $\lim_{x \to 0} \frac{1}{1 - e^{-1/x}}$ is—
a1✓ Correct
b0
c∞
d∞
Explanation
$\lim_{x \to 0} \frac{1}{1 - e^{-1/x}}$ $\Rightarrow \lim_{x \to 0} \frac{1}{1 - \frac{1}{e^{1/x}}}$ = 1
general-mental-ability
$\lim_{x \to 0} \frac{1}{1 - e^{-1/x}}$ $\Rightarrow \lim_{x \to 0} \frac{1}{1 - \frac{1}{e^{1/x}}}$ = 1