1. The problem statement, all variables and given/known data I'm trying to determine if Ʃ 1/(3^ln(n)) converges. 2. Relevant equations 3. The attempt at a solution The preliminary test isn't of any help since lim n→∞ an = 0. I tried the integral test but I couldn't integrate the function, and I don't think it's the best way to proceed. I couldn't do anything with the ratio test either, since I don't know how to simplify the 1/(3^ln(n+1)) term.