Convergent infinite series
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:
This is how far I got:
Then |S-Sn|<1/8 for some n>N
sn will always be positive and less than S ie less than 1 so
Now I am stuck... am I doing this right? If so how do I find N?
Any help appreachated.