如题，
Let X1,X2,...i.i.d with P(Xi>x)=e^(-x),
let Mn=max(Xm) 1<=m<=n,
Show that (1) limsup(Xn/logn)=1 as n->无穷大 a.s.
(2) (Mn/logn)-> 1 a.s.
此题出自书 Probability:Theory and Examples
作者: Rich Durrett
Chapter1 Section1.6:Borel-Cantelli Lemmas
不知道该如何下笔证这一题型，
有高手能给我hint之类的吗???
谢谢~~~