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Problem. What is the Fourier series expansion of the function defined by


             ole.gif



Derivation. Taking c = -π, L = π, we obtain



ole1.gif



             ole2.gif


             ole3.gif


             ole4.gif


             ole5.gif



ole6.gif


ole7.gif


                         ole8.gif


ole9.gif




Evaluating the coefficients for n = 0, 1, 2, .... , we have



ole10.gif



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