Question

$\lim _{x \rightarrow 0}(1-a x)^{1 / x}$ is equal to

(a) $e$

(b) $e^{-a}$

(c) 1

(d) $e^a$

Answer 1

SOLUTION — $\lim _{x \rightarrow 0}(1-a x)^{1 / x}=e^{\lim _{x \rightarrow 0}\left(\frac{-a x}{x}\right)}=e^{-a}$

So, The correct option of this question will be (B).