2. Find the Fourier series expansion of: fo, f(x) = -1 < ¢ < 0 sin Tr, 0< x <1 and then use it to find the values of the following infinite sums: 1. (a) 3 ... 15 35 63 4n? 1. 1 1 (-1)"+1 (b) 3 +. 35 15 ... 63 4n2 1 (c) ... 143 255 16n2 1 1 1 (d) 3 --.. 152 352 632 (4n2 – 1)2

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