lim-x-0-1-x-ln-e-x-1-help-me-

Question Number 99935 by student work last updated on 24/Jun/20

li \underset{x \to 0}{m} \frac{1}{x^{\ln (e^{x} - 1)}} = ?

help me

Commented by student work last updated on 24/Jun/20

help me sisrs

Commented by student work last updated on 24/Jun/20

Commented by student work last updated on 24/Jun/20

who can help me ?

Commented by student work last updated on 24/Jun/20

l need your help

Answered by bobhans last updated on 24/Jun/20

\lim_{x \to 0} x^{- \ln (e^{x} - 1)} = \lim_{x \to 0} {(\frac{1}{x})}^{\ln (e^{x} - 1)}

= e^{\lim_{x \to 0} \ln (e^{x} - 1) . \ln (\frac{1}{x})}

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