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 ?

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- December 9th 2008, 08:25 PMsisa
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 ? - December 10th 2008, 08:56 AMMathstud28
- December 10th 2008, 09:12 AMsisa
is for the first case bsubn=1/3n and for the second case bsubb =2/n^3

- December 10th 2008, 09:15 AMmegamet2000
- December 10th 2008, 09:15 AMMathstud28
- December 10th 2008, 09:25 AMsisa
- December 10th 2008, 09:35 AMsisa
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

Right??? - December 12th 2008, 12:47 PMmegamet2000
- December 15th 2008, 10:05 AMmegamet2000
so sisa did you solve this problem? i dont understand how you found the limits..they both look like they would converge to 0.