This problem came from the Krantz text ($2^{nd}$ ed. ch. 9, prob. 17):
Prove that the series $\displaystyle\sum_{j=1}^{\infty }{\frac{\sin{(jx)}}{j}}$ converges uniformly on compact intervals that do not contain odd multiples of $\displaystyle\frac{\pi}{2}$
Thank you in advance for your help
2026-04-30 02:04:11.1777514651
Uniform convergence of a series
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