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}} $ .