Category:Sum of Reciprocals of Squares Alternating in Sign

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This category contains pages concerning Sum of Reciprocals of Squares Alternating in Sign:


\(\ds \dfrac {\pi^2} {12}\) \(=\) \(\ds \sum_{n \mathop = 1}^\infty \dfrac {\paren {-1}^{n + 1} } {n^2}\)
\(\ds \) \(=\) \(\ds \frac 1 {1^2} - \frac 1 {2^2} + \frac 1 {3^2} - \frac 1 {4^2} + \cdots\)