- #1

Euge

Gold Member

MHB

POTW Director

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- 242

I'm sorry I haven't been around. For several months I've been very sick. I wish you all a Happy New Year! In respect of the MHB equations above, here's a good problem to start the new year:

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Prove the famous result \[\sum_{k = 1}^\infty \frac{1}{k^2} = \frac{\pi^2}{6}\] Use any method(s) you like.

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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!