use Fourier sine series, consider f (x) = x² on [0, n] to compute 1+1/2° + 1/3? + 1/42... and take pi/4 = 1 - 1/3^3 + 1/5^5 ..

Q: (b) Prove that the Fourier series for f(x) is: 1 f(x) = ²0 (si -20 (sinx + sin3x +sin5x + ...) TU

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Q: .. Consider the 1-periodic Fourier series expansion ao 9+2 {an cos(2 nnx) + bn sin(2 nmx)} of the…

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Q: Compute the Fourier sine series of S 1, 0<x < 1, ={2, 1sx<2, 2, 1<x < 2, on [0, 2]. Sketch both the…

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