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(a) Starting with the geometric series β[infinity]n=0 xn, find the sum of the series β[infinity] n=1 (b) Find the sum of each series: (c) Find the sum of each series. nxnβ1, β[infinity] (i) |x| < 1. nxn, |x| < 1 β[infinity] n (ii) 2n n=1 β[infinity] n=2 β[infinity] n 2 β n 2n n=1 (iii) β[infinity] n 2 2n n=1 n=2'
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(a) Starting with the geometric series β[infinity]n=0 xn, find the sum of the series β[infinity] n=1...
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