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    Examples of Fourier series and sums of numerical series.

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    We use the Fourier expansions of certain poynomial functions to compute the sum of some useful numerical series.
    The formulas are quite general and give, at the end, the Fourier expansion of every polynomial function.
    By the way, these formulas can be also used for a numerical approximation of pi=3.14....

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    Solution Summary

    Examples of Fourier series and sums of numerical series are provided. The solution is detailed and well presented.