Proving a series diverges 1/n and 1/n^2 = PI^2/6 .:Resolved:.

[voidflux]

Hello everyone!
I was wondering if anyone happend to know any links or just knew off the top of their head to show the following:
I need to show that this series diverges:
E shall stand for Sumnation

infinity
E          1/n  = 1+1/2+1/3+1/4+...+infinity
n = 1

How am i suppose to show that this series
 does infact diverge? I can't write, well its 
going to go to infinity, well acutally, i thought 
it would go to 0, but thats not the case.

Also some math wiz figured out that

infinity
E         1/n^2  = PI^2/6
n =1

anyone know how i could show this?

Thanks!