Help with evaluating limits

Hi!

I need to find the limit of the following:

while .

I know it's 0 since exponential functions grows faster then any polynomial functions, but I couldn't find a way to prove it.

Please don't post a solution, I just need guidance and hints on what should I try.

Thanks in advanced!

Re: Help with evaluating limits

The first one can be proven using L'Hospital's Rule "k" times.

Re: Help with evaluating limits

Hi Prove It!

Thanks for the help.

That's brilliant.

didn't think about it.

(correct me if there's an error)

what about the second one?

any thoughts? (Itwasntme)