(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

series from n=0 to infinity of

(n+1)/3^n

Did I do this correctly? Also, I'm pretty positive that I can use the comparison test/limit comparison test, but I can't seem to figure out what to compare it to, could someone shed a little light? For the integral test, the integral is quite intimidating and I don't really know where to start, could someone suggest what integration technique to try?

relevant equations:

Ratio Test

3. The attempt at a solution

so first I used the ratio test

lim n->infinity |((n+2)/3^(n+1)) * ((3^n)/(n+1))|

= lim n->infinity (n+2)/(3(n+1))

dividing by n/n

you have the limit = 1/3<1, therefore it converges by the ratio test.

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# Homework Help: Determine the convergence/divergence of this series with all possible tests

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