They told me that 00=1 0^0 = 1 , but why?

Calculus Level 2

Some people claim that 00=1 0 ^ 0 = 1 . What is

limx0+x1lnx? \Large \lim_{ x \rightarrow 0^+ } x ^{^ { \frac{ 1}{\ln x} }}?

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