The function f is defined by the power series X f(x) = X +-목 3 5 7 for all real number X for which the series converges. (a) Find the interval of convergence of the power series for f Justify your answer. (b) Write the first four nonzero terms and the general term for an infinite series that represents f'(x) + + (-1)"x2n+1 2n + 1

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