I have two functions:

and

I have to prove it its big-Oh/theta/omega

I have to use the limit method where:

limit n going to infinity of

Then L'Hospital's rule, but when I take the derivatives of both and cancel out everything I just get what I was left with before. Am I doing something wrong? Am I not taking the derivative correctly?

I was using and chain rule.

Can someone help me to clarify this?