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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. 4 f(x) = 4+ x Which of the following is the power series representation for f(x)? OA E (-A) OB. E (-x4 ) k 00 Oc. E (-4x)k OD. E 4x The interval of convergence is 7.1-414 not ( - 1, 1 ) (Simplify your answer. Type your answer in interval notation.)

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