Given the function 1 f(x) =, 0< x < 7. 2' (a) Define an odd extension of the function over the interval (-7, 7). - π, (b) Find the first 5 nontrivial terms of the Fourier series of this extended function. (c) Calculate the L² error of your truncated Fourier series obtained in (b). (d) Find the general term of the Fourier series of the extended function.
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Could you help me solve subpart d? Subparts a-c were already addressed. Thank you.
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