# Continuity on R of Series

1. Aug 13, 2007

### Rosey24

1. The problem statement, all variables and given/known data

Show that $$\Sigma$$ (from n=1 to infinity) of sin(nx)/n^2
is continuous on R

2. Relevant equations

3. The attempt at a solution
No idea, any help would be greatly appreciated.

2. Aug 13, 2007

### Mystic998

Well, that would depend on what you're allowed to use. But uniform convergence of the series pretty much implies it immediately. And showing uniform convergence is easy.

Otherwise, I imagine it's a bit trickier, and I'd have to think about it.

3. Aug 13, 2007

### Rosey24

I am allowed to use uniform convergence. Thanks!