Radius of Convergence of a Power Series. (n!)x" Determine the radius of convergence for the series nn We begin by applying the Ratio Test to the series un, where un is the nth term of the power series in question and find that, Un+1 lim lim 11-700 Un 11-00 Note: type a simplified ratio in terms of x and n, then evaluate the limit above. Based on the results above, the radius of convergence of the power series is R

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