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Start with the geometric series n = 0 (a) Find the sum of the series nxn-1, x < 1. n = 1 (b) Find

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Start with the geometric series n = 0 (a) Find the sum of the series nxn-1, x < 1. n = 1 (b) Find the sum of each of the following series. 00 (1) n = 1 (ii) W n = 1 n 9" |x| < 1 (c) Find the sum of each of the following series. (i) n(n - 1)x", n = 2 (ii) n = 2 n - n 3n (iii) M8 n = 1 n |x| < 1

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