Hi,

I'm having some problems with calculating quite a few limits, so I guess there's a concept I'm not getting...

Fe:

$\displaystyle \lim_{x\to\infty}x^{1/x}$

Or:

$\displaystyle \lim_{x\to\infty}x^4e^{-x^2}$

$\displaystyle \lim_{x\to\infty}\frac{e^x}{\sqrt(x)}$

How should I solve these?

Thanks!