Functions Question 344
Question: In order that the function $ f(x)={{(x+1)}^{1/x}} $ is continuous at $ x=0 $ , $ f(0) $ must be defined as
[MNR 1989]
Options:
A) $ f(0)=0 $
B) $ f(0)=e $
C) $ f(0)=1/e $
D) $ f(0)=1 $
Show Answer
Answer:
Correct Answer: B
Solution:
$ \underset{x\to 0}{\mathop{\lim }}f(x)=f(0)=\underset{x\to 0}{\mathop{\lim }},{{(1+x)}^{1/x}}=e. $
BETA
