- #1
Euge
Gold Member
MHB
POTW Director
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- 242
The problem regarding the order of $\operatorname{SL}_n(\Bbb F_p)$ was intended to be posted as a University POTW, but I accidentally posted it as a Graduate POTW! My apologies. Here is another problem.
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For $0 < x < \pi$, find the sum of the series
$$\sum_{n = 1}^\infty \frac{\sin^2(nx)}{n^2}$$
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Remember to read the https://mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to https://mathhelpboards.com/forms.php?do=form&fid=2!
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For $0 < x < \pi$, find the sum of the series
$$\sum_{n = 1}^\infty \frac{\sin^2(nx)}{n^2}$$
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Remember to read the https://mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to https://mathhelpboards.com/forms.php?do=form&fid=2!