How do I prove this series converges?
ln x/x^(3/2)
I think it converges to 0 by using L'Hopital and limits but am not confident in my solving.
Series? Are you summing over x? Is x restricted to the positive integers? Since each term is positive, it certainly cannot sum to 0!
Or do you mean simply a limit? As x goes to what value? Please post the entire statement of the problem.