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A New Proof of a Classical Formula

Habib Bin Muzaffar
The American Mathematical Monthly
Vol. 120, No. 4 (April 2013), pp. 355-358
DOI: 10.4169/amer.math.monthly.120.04.355
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.120.04.355
Page Count: 4
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A New Proof of a Classical Formula
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Abstract

Abstract A new proof is given of the classical formula \documentclass{article} \pagestyle{empty}\begin{document} $\sum_{n=1}^{\infty}1/n^2=\pi^2/6$ \end{document} , using the technique of differentiation under the integral sign. Some interesting definite integrals are also evaluated.

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