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Homework Help: Continuity on R of Series

  1. Aug 13, 2007 #1
    1. The problem statement, all variables and given/known data

    Show that [tex]\Sigma[/tex] (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. jcsd
  3. Aug 13, 2007 #2
    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.
  4. Aug 13, 2007 #3
    I am allowed to use uniform convergence. Thanks!
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