Advanced Probability (math or stat majors probably only need apply)

[MagicFlea]

I want help on my homework [img]/images/graemlins/smile.gif[/img]

I need to show a certain probability converges >0 as the limit goes to inf.

Pn(i,i)= (1-e^-(n^c)) for arbitrary small constant c

Need to show: PI (n=1 to inf) (Pn(i,i)) > 0

I've simplified it to showing (1-e^-(n^c))^n does not dissapear as n->inf which should be provable with the binomial expansion but its not working for me. If you have an idea on either front I'd be happy [img]/images/graemlins/smile.gif[/img]

(this relates to cooling schedules for annealating processes, if it interests you)