# Math Help - Radius of Convergence Proof

1. ## Radius of Convergence Proof

I've uploaded the problem I'm having an issue with. The second line begins with F(x) in case that is too blurry. I have no idea where to begin, so if someone could just point me in the right direction, that would be much appreciated!

2. ## Re: Radius of Convergence Proof

A power series converges uniformly on a closed interval within its interval of convergence, and integration and limit can be exchanged in the case of uniform convergence.