How to check if these series converges and how to show it.
1. (n-7)/(3n^2+5n-6) when n from 1 to infinity
2.(2^2+6n-7)/(3n^5+5n^3-6) when n goes from 1 to infinity
Should I use ratio test ?
Last edited by mr fantastic; December 15th 2008 at 03:34 PM.
Reason: Merged the two posts.
How to check if these series converges and how to show it.
1. (n-7)/(3n^2+5n-6) when n from 1 to infinity
2.(2^2+6n-7)/(3n^5+5n^3-6) when n goes from 1 to infinity
Try the limit comparison test, if and are infinite series and then the series share convergence/divergence
How to check if these series converges and how to show it.
1. (n-7)/(3n^2+5n-6) when n from 1 to infinity
2.(2^2+6n-7)/(3n^5+5n^3-6) when n goes from 1 to infinity
Ok.
I calculated that in cases:
1.lim an/bn is 1 so since bn diverges to infinity, the series an diverges to infinity
2.lim an/bn is 1/3 so since bn converges to 1 an also converges to 1