Convergent infinite series

Ok

So I have the problem of:

A definition of a convergent infinite series with the sum **S** is:

Given any small positive number (ε) it possible to find an integeer N so that |*S-Sn*|<ε for every *n*>*N*

Select some ε's and find the corresponding* N*'s for the following series:

http://photos-c.ak.fbcdn.net/hphotos..._2275134_n.jpg

This is how far I got:

http://photos-e.ak.fbcdn.net/hphotos..._7498630_n.jpg

so http://photos-g.ak.fbcdn.net/hphotos..._5731128_n.jpg

Let ε=1/8

Then |S-Sn|<1/8 for some n>N

so |1-Sn|<1/8

sn will always be positive and less than S ie less than 1 so

1-Sn<1/8

Sn>7/8

Now I am stuck... am I doing this right? If so how do I find N?

Any help appreachated.

colgon