Leibniz's series for π

Evaluate $n = 0 \sum \infty \frac{( - 1 ) ^{n}}{2 n + 1} = 1 - \frac{1}{3} + \frac{1}{5} - \dots$ .

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Classical — Mādhava (14th c.), Gregory (1671), Leibniz (1674)

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