Prove that lim[(1/n)-(1/(n-1))] = 0.

Prove that lim[(n+2)/((n^2)-3)] = 0.--for this one I know I need to use the definition that says a sequence (sn) is said to converge to the real number s provided that for each epsilon>0 there exists a real number M such that for all n elements ofN, n>M implies that |(sn)-s|<epsilon