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Leibniz formula for π
Signed odd unit fractions sum to π/4
Leibniz formula for π
In mathematics, the Leibniz formula for π, named after Gottfried Wilhelm Leibniz, states that π 4 = 1 − 1 3 + 1 5 − 1 7 + 1 9 − ⋯ = ∑ k = 0 ∞ ( − 1 ) k 2 k + 1 ,...
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