Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

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

share|cite|improve this question
Hmmm, are you sure is for odd multiples of $\frac{\pi}{2}$? This is the Fourier series for the sawtooth function, which is discontinuous at $x=0$, so this series cannot converge uniformly on any interval containing $0$. – alejopelaez Aug 31 '11 at 14:03

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.