# Absolute, conditionally convergence or divergense?

• May 6th 2010, 11:12 AM
Zaph
Absolute, conditionally convergence or divergense?
Oi

Im stuck at following:

I need to figure out weather this is absolute convergent, conditionally convergent or divergent.

sum from 1->infinity of: ((-1)^n)*(3n^2+7n-1)/(3n^5+4n+1)

Any hints or help is appreciated :)
• May 6th 2010, 02:19 PM
skeeter
Quote:

Originally Posted by Zaph
Oi

Im stuck at following:

I need to figure out weather this is absolute convergent, conditionally convergent or divergent.

sum from 1->infinity of: ((-1)^n)*(3n^2+7n-1)/(3n^5+4n+1)

Any hints or help is appreciated :)

perform the limit comparison test on the positive terms of the series with the known convergent series $\sum \frac{1}{n^3}$ ...
• May 10th 2010, 06:43 AM
Zaph
Thanx, i think i got it right, and found out it converges absolute cause the limit goes to 1.