anonymous 5 years ago determine the convergence of sum(nx^n) n=1 and goes to infinity.

1. anonymous

$\sum_{n=1}^{\infty} nx^n$

2. anonymous

I'm going to go ahead and say this goes to infinity x^inf is inf inf * inf is inf so... i think this is inf

3. anonymous

are they're any series tests that i should be using to proof this?