A) 0
B) 1
C) e
D) None of these
Correct Answer: B
Solution :
Let \[y={{x}^{x}}\,\Rightarrow \,\,\,\log y=x\log x\] \[\therefore \,\,\underset{y\to 0}{\mathop{\lim }}\,\,\log y=\underset{x\to 0}{\mathop{\lim }}\,x\log x\]\[=0=\log 1\,\,\Rightarrow \,\,\underset{x\to 0}{\mathop{\lim }}\,{{x}^{x}}=1\].
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