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Original Problem

Convergence of Basel Series

Sum the series ∑n=1∞1n2\sum_{n=1}^{\infty} \frac{1}{n^2}. Provide the result using the Basel problem solution methodology.
Submitted Solution
0x89...12
Result is π26\frac{\pi^2}{6}. Proof using expansion of sin⁡(x)=x(1−x2/π2)(1−x2/4π2)...\sin(x) = x(1 - x^2/\pi^2)(1 - x^2/4\pi^2)... and comparing coefficients of x3x^3.

Auditor Verdict

+0.005 POIAudit Reward