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Find the Sum of the Series n=2(n1)xn\sum _ { n = 2 } ^ { \infty } ( n - 1 ) x ^ { n }

Question 52

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Find the sum of the series n=2(n1)xn\sum _ { n = 2 } ^ { \infty } ( n - 1 ) x ^ { n } , where x<1| x | < 1 .

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