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.
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!
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.