# Limit of (E^x+1)^1/x

1. Jun 12, 2009

### SteveBell

1. The problem statement, all variables and given/known data

Lim (E^x-1)^(1/x)
x->Infinito

L'Hospital?

2. Relevant equations

Lim (1+1/x)^x=E
x->Infinito

3. The attempt at a solution

Help!

2. Jun 12, 2009

### Cyosis

If you want to use l'Hopital you will have to take the logarithm of the limit first. Remember $e^{\ln x} =x$ and don't forget to show us your work!

Last edited: Jun 12, 2009
3. Jun 12, 2009

### SteveBell

Thank you very much for your advice.

I'm still unsure how to approach this one. Apply Ln() to the entire limit?

4. Jun 12, 2009

### Cyosis

Yes write the limit as $\exp(\ln[(e^x-1)^{(1/x)}])$.

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