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Simple Proofs for Σ 1/k2 = π2 / 6
by R. A. Kortram
This article originally appeared in:Mathematics Magazine
April, 1996
Subject classification(s): Series | Single Variable Calculus
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis
Two of Euler's familiar identities, the sum of reciprocals of squares of integers and the infinite product expression of sine function, are proved again.
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