(a) Starting with the geometric series x", find the sum of the series n = 0 nx" - 1, |x| < 1. n = 1 (b) Find the sum of each of the following series. (i) 2 nx", |x| < 1 n = 1 n (ii) 5" n = 1 (c) Find the sum of each of the following series. (1) 2 n(n - 1)x", |x| < 1 n = 2 n2 - n (ii) E 3n n = 2 (iii) 2n n = 1

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