Power series can be used to evaluate certain infinite series. An example is ∞Σ n=1 n/5^(n-1)   a) Find a power series representation of 1/(1-x)^2 by differntiating the power series representation of 1/(1-x). What is the interval of convergence for the power series of 1/(1-x)^2?   b) Use the your awnser in part (a) to find the sum of ∞Σ n=1 n/5^(n-1).  Also, to clear up any confusion, infinity is supposed to be on top and n=1 is on the bottom.

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A: Topic- Series