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Euler's Formula for \(\zeta (2k)\), Proved by Induction on \(k\)


Ji Chungang (Nanjing Normal University) and Chen Yonggao (Nanjing Normal University)

This article originally appeared in:
Mathematics Magazine
April, 2000

Subject classification(s): Numbers and Computation | Patterns and Sequences | Number Patterns
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis

A familiar formula of Euler is proved by induction.

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