I know L'Hoptal's rule can only be use when you have indeterminate forms and such, but I do not know how to make a limit a fraction sometimes. Take this limit for example:(adsbygoogle = window.adsbygoogle || []).push({});

The limit at which X approaches infinity of (1+[tex]\frac{1}{x}[/tex])^{X}

I make y = The limit at which X approaches infinity of (1+[tex]\frac{1}{x}[/tex])^{X}

Take the Ln of both sides to get

lny = X*ln(1+[tex]\frac{1}{x}[/tex])

which can be rewritten as ln(1+1/x)/(1/x) but how? I get lost in the algebra and don't know how to obtain that.

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# Homework Help: Simple question about using L'Hopital's Rule to solve limits

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