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.