如題，
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->無窮大 a.s.
(2) (Mn/logn)-> 1 a.s.
此題出自書 Probability:Theory and Examples
作者: Rich Durrett
Chapter1 Section1.6:Borel-Cantelli Lemmas
不知道該如何下筆證這一題型，
有高手能給我hint之類的嗎???
謝謝~~~