Functions Question 120
Question: $ \underset{x\to 0}{\mathop{\lim }},x^{x}= $
[Roorkee 1990]
Options:
A) 0
B) 1
C) e
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Let $ y=x^{x},\Rightarrow ,\log y=x\log x $
$ \therefore \underset{y\to 0}{\mathop{\lim }}\log y=\underset{x\to 0}{\mathop{\lim }},x\log x $ $ =0=\log 1\Rightarrow \underset{x\to 0}{\mathop{\lim }},x^{x}=1 $ .
BETA
