# Infinite Series Help

• May 9th 2010, 02:51 PM
maxreality
Hello All,

I'm trying to figure out if I'm doing this problem correctly.
http://img140.imageshack.us/img140/7279/58855172.jpg

I've rewritten the top as the cubed root of 1 and am using the root test. Am I on the right track?

Also,

My answer is 1 / (n^2 + 1) and that converges.
• May 9th 2010, 03:16 PM
skeeter
Quote:

Originally Posted by maxreality
Hello All,

I'm trying to figure out if I'm doing this problem correctly.
http://img140.imageshack.us/img140/7279/58855172.jpg

I've rewritten the top as the cubed root of 1 and am using the root test. Am I on the right track?

I would try the limit comparison test with the known divergent series $\sum \frac{1}{n^\frac{2}{3}}$
• May 9th 2010, 03:19 PM
maxreality
Thank you. I was going about it the more difficult way.