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OpenStudy (anonymous):
I know that series Σ1/n^2 is convergent. But I want to know the value at which the series converges. ie. Σ1/n^2 = ? (Please write the method to get it too)
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OpenStudy (mathmate):
It took Euler 6 years to give a rigorous proof that sum = \(\pi ^2/6\). See for example: http://en.wikipedia.org/wiki/Basel_problem
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