Question: Showing the details, develop What can you say about the coefficients of the FourierLegendre series of f(x) if the Maclaurin series of f(x) contains only

Showing the details, develop

What can you say about the coefficients of the Fourier–Legendre series of f(x) if the Maclaurin series of f(x) contains only powers x^4m (m = 0, 1, 2, · · ·)?

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