I have no experience in proofs whatsoever. Are there any general steps to go about proving math problems? I really don't know how to start these things or what the next steps are after the first step. Here is one from my calculus class I don't know how to do.

Prove

$\displaystyle \lim_{n\rightarrow 0^+}\sqrt{x} [1+sin^2(2\pi/x)]=0$