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use Fourier sine series, consider f(x) = x on [0, 1] to compute 1+1/2 + 1/3? + 1/4? ... . and take pi/4 =

use Fourier sine series, consider f(x) = x on [0, 1] to compute 1+1/2 + 1/3? + 1/4? ... . and take pi/4 = 1 - 1/3^3 + 1/5^5 ...

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