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Power Series Representation

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Find a power series representation for the function and determine the interval of convergence:

F(x) = (1 + x) / (1 - x)

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(1 + x) times the sum from n=0 to infinity of x ^n
= the sum from n=0 to infinity of x ^n + x times the sum from n=0 to infinity of x ^n
= the sum from n=0 to infinity of x^n + the sum from n=0 to infinity of x ^(n+1).

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Power Series Representation is modeled.

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