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#1 2011-11-26 05:15:44

shocamefromebay
Member
Registered: 2007-05-30
Posts: 103

Function Series and Continuity?

So, we have


I want to show that it is continuous on the real numbers, but I have no idea what to do. I obviously thoguht of using Weierstrass's M-test, but even if I got that to work, it would only show that g is uniformly convergent. Is there anyway to use uniform convergence to show that g is continuous? Or, am I just headed in the complete wrong direction?

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