Start with the geometric series (1) Σ nx", lx| < 1 n = 1 (a) Find the sum of the series nx-1, |x| < 1. (ii) (b) Find the sum of each of the following series. (i) (ii) n = 1 (iii) n = 2 (c) Find the sum of each of the following series. n = 2 00 n 3″ n = 1 n=0 00 x^. C - n n = 1 n(n-1)x, x < 1

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