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並前往https://www.math.brown.edu/~res/MathNotes/machin.pdf

Below I'll derive the series expansion arctan(x) = n=0 - Brown ...

n=0(−1)n x2n+1. 2n + 1. ;. 0 ≤ x ≤ 1. (1). Plugging the equation π = 4 arctan(1) into Equation 1 gives Leibniz's famous formula for π, namely.

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