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## Main Question or Discussion Point

Can somebody solve this problem: the limit of [1 + sin(x)]^(1/x) when x approaches 0 ?

- Thread starter rene
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Can somebody solve this problem: the limit of [1 + sin(x)]^(1/x) when x approaches 0 ?

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Take the logarithm of that expression, which will let you use L'Hopital to solve it.

arildno

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[tex](1+\sin(x))^{\frac{1}{x}}=((1+\sin(x))^{\frac{1}{\sin(x)}})^{\frac{\sin(x)}{x}}[/tex]

The correct limit is quite easy to deduce from this.

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