Power Series

Power Series
Power series?

a) Use differentiation to find a power series representation f (x) = 1 / (1 + x) ^ 2 What is the radius of convergence? b) Use part of Section (a) a power series, f (x) = 1 / (1 + find x) ^ 3 c) a part (b) a power series, f (x) = x ^ 2 / ( 1 + x) ^ 3 show the steps and so .. thanks

Note: 1 / (1-x) = 1 + x + x ^ 2 + x ^ 3 + … 1 / (1 + x) = 1-x + x ^ 2-x ^ 3 + …

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