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**Unformatted text preview: **π 2 (2 n + 1) 2 which becomes π 2 / 8 = 1 1 2 + 1 3 2 + 1 5 2 + 1 7 2 + ... More stuﬀ on the next page! 7 ) See the picture above. 9(a) a = 1 2 π Z π 1 dx = 1 / 2, a k = 1 π Z π cos kx dx = sin kx k | π =-k = 0 and b k = 1 π Z π sin kx dx =-cos kx k | π =-cos kπ + 1 k = ± k even 2 /k k odd ....

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