2. Find the value of an(n + 0) in the Fourier series expansion of the functions f(x) = sin(Mx) defined over the interval (-n, 1). (20 marks)

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Q: 3. Find the Fourier series for a periodic function with period 2π defined by f(x) = x²-3x,0 < x < 2π

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Q: Substitute x 2 for x in the Maclaurin series for sin x.

A: To Substitute x2 for x in the Maclaurin series for sin x

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A:

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A: Given:- Let fx=a02+∑n=1∞ancos nx+∑n=1∞bnsin nx   a0=1π∫-π0fx dx+∫0πfx dx a0=1π∫-π0-1 dx+∫0π1 dx…

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A: