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Find a power series representation centered at 0 for the following function using known power series. Give the interval of convergence for the resulting series.

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Find a power series representation centered at 0 for the following function using known power series. Give the interval of convergence for the resulting series. f(x) = 1+x Which of the following is the power series representation for f(x)? 00 OA. _ x 4K OB. E (-4X ) K K = 0 K=0 & c. E ( - x4 ) k OD. _ 4xk K =0 K =0 The interval of convergence is (Simplify your answer. Type your answer in interval notation.)

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