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Power Serieseasy
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A function f(x)f(x)f(x) has the power series representation f(x)=∑n=0∞anxnf(x) = \sum_{n=0}^{\infty} a_n x^nf(x)=∑n=0∞​an​xn with radius of convergence R>0R > 0R>0. Which of the following statements is necessarily TRUE about fff on the interval (−R,R)(-R, R)(−R,R)?