Show SUM( (sin(nx)/n^2) * x^3) is continuous on R

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- May 3rd 2010, 11:42 AMcp05Continuity of a Sum on R
Show SUM( (sin(nx)/n^2) * x^3) is continuous on R

- May 3rd 2010, 06:40 PMtonio
- May 3rd 2010, 07:06 PMcp05
why does the fact that it converges everywhere...namely, it's uniformly convergent, show that (sin nx)/n^2 is continuous?

- May 3rd 2010, 07:18 PMtonio

Weierstrass M-test - Wikipedia, the free encyclopedia

Read with particular care the 9th line. (Nerd)

Tonio - May 4th 2010, 08:36 AMcp05
I read the wikipedia line....but I don't see why it's continuous if it converges uniformly

- May 4th 2010, 08:40 AMtonio