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A série de Fourier da função 2-periódica definida em por é Então, a so...

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A série de Fourier da função 2-periódica definida em por é display style 1 third plus 4 over pi squared sum from n equals 1 to plus infinity of fraction numerator left parenthesis negative 1 right parenthesis to the power of n over denominator n squared end fraction cos left parenthesis n pi t right parenthesis.

Então, a soma da série numérica é

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