Functions Question 272

Question: $ \underset{x\to 0}{\mathop{\lim }},{{(1-ax)}^{\frac{1}{x}}}= $

[Karnataka CET 2003]

Options:

A) e

B) $ {e^{-a}} $

C) 1

D) $ e^{a} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \underset{x\to 0}{\mathop{\lim }}{{[1+(-a),x]}^{1/x}}={e^{-a}} $ .