# This problem is about a summation series...determine when it diverges or converges

• January 2nd 2010, 04:30 AM
Aerospank
This problem is about a summation series...determine when it diverges or converges
$\sum {\frac{1}{n^{1+\epsilon}}}$ from n = 1 to infinity

for some 0 < $\epsilon$ < 1. Determine for which values of $\epsilon$ the series converges or diverges.
• January 3rd 2010, 12:18 PM
mr fantastic
Quote:

Originally Posted by Aerospank
$\sum {\frac{1}{n^{1+\epsilon}}}$

for some 0 < $\epsilon$ < 1. Determine for which values of $\epsilon$ the series converges or diverges.

Read all of this: Harmonic series (mathematics) - Wikipedia, the free encyclopedia
• January 21st 2010, 01:16 PM
Aerospank
Quote:

Originally Posted by mr fantastic

this really helped a lot. thanks!