What is the Limit of (E^x+1)^1/x as x Approaches Infinity?

[SteveBell]

Homework Statement

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

L'Hospital?

Homework Equations

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

The Attempt at a Solution

Help!

 

[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!

 

[SteveBell]

Thank you very much for your advice.

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

 

[Cyosis]

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