How do I solve this limit?

[the stoneth]

I want to apply L'Hospital's Rule if possible.

limit (x→∞) ((x+1)/x)^x

 

[the stoneth]

I still don't understand.

 

[pka]

\(\displaystyle \displaystyle(\frac{x+1}{x})^x=e^{\displaystyle x ln[\frac{x+1}{x}]}\)

I still don't understand.

Do you understand that \(\displaystyle x ln(\frac{x+1}{x})=\dfrac{ln(\frac{x+1}{x})}{\frac{1}{x}}\) ?

 

[the stoneth]

Thanks, I got it now.