Question: Problem 5: Suggest a polynomial on [0, 7] whose Fourier coefficients decay as rapidly as 13 and confirm the decay by computing the Fourier coefficients

Problem 5: Suggest a polynomial on [0, 7] whose Fourier coefficients

Problem 5: Suggest a polynomial on [0, 7] whose Fourier coefficients decay as rapidly as 13 and confirm the decay by computing the Fourier coefficients explicitly. Hint: if Fourier coefficients decay as rapidly as 13, then the Fourier series can be differentiated term by term twice

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