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XK The power series for the exponential function centered at 0 is e* = K! , for - co The power series for the exponential

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XK The power series for the exponential function centered at 0 is e* = K! , for - co

The power series for the exponential function centered at 0 is ex = Give the interval of convergence for the resulting series. f(x) = 3x4 ex Which of the following is the power series representation for f(x)? O A. 00 k +4 k! O C. x4exk The interval of convergence is (Simplify your answer. Type your answer in interval notation.) co k x , for 0 o B. D. < x < 00. Find the power series for the following function. 00 4k k! 00 3k

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