The limit of (e^x-1)^(1/x) as x tends to 0

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Question from ARGHA:

Find the limit of (e^x-1)^(1/x) as x tends to 0.

Hi,

I can help you get started. Take the natural logarithm of

\[(e^x-1)^{1/x}. \]

What is the limit of the resulting expression as x tends to zero?

Penny







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