Use L'Hospital's Rule to find the following limit:

$\displaystyle \lim_{x\rightarrow\infty} (1+\frac {2}{x})^{x} $

I am not sure how to use L'Hospital's rule for this.

I know that the $\displaystyle \lim_{x\rightarrow\infty} \frac{2}{x} = 0 $

and so therefore,

$\displaystyle \lim_{x\rightarrow\infty} (1 + 0)^{x} = 1^{\infty} = 1 $

Can someone help me solve this using L'Hospital's Rule.

Thank you.