# Uniformly convergent sequence

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• Dec 16th 2009, 02:50 AM
problem
Uniformly convergent sequence
Let $(c_n)$ be a decreasing sequence of positive numbers.If $\sum c_n sin nx$ is uniformly convergent, show that $lim (n c_n) = 0$.
• Dec 16th 2009, 08:50 PM
problem
Can anyone give me any hints?
Thanks!