Ok, so the problem is [(3^-n)+(n^-1)] and I have to determine if it converges are diverges. from n=1 to inf. The problem is that individually I know that the 3^-n should converge and that n^-1 should diverge. But I don't understand what happens when your taking the series of the two combines. I think it would diverge, because of the n^-1, but I don;t know what test to prove it or if I even have the right idea. If anyone has any suggestions of a test to do, I tried the root test but found it to be 1 which is inconclusive, and I dont know where to go with this problem.