Question: In Problems 1-4, find the power series representation for f(x) and specify the radius of convergence. Each is somehow related to a geometric series? 1.

In Problems 1-4, find the power series representation for f(x) and specify the radius of convergence. Each is somehow related to a geometric series?
1. f(x) = 1 / 1 + x
2. f(x) = 1 / (1 + x)2 Differentiate Problem1.
3. f(x) = 1 / (1 - x)3
4. f(x) = x / (1 + x)2

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