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Question

Question: \[\lim_{x \rightarrow 1}x^{x} =\]...

lim⁡x→1xx=\lim_{x \rightarrow 1}x^{x} =

A

1

B

∞

C

Not defined

D

None

Answer

1

Explanation

Solution

lim⁡x→1xx=\lim_{x \rightarrow 1}x^{x} = (lim⁡x→1x)lim⁡x→1x=11=1\left( \lim_{x \rightarrow 1}x \right)^{\lim_{x \rightarrow 1}x} = 1^{1} = 1