A useful power series. Let¹ ∞ (b) What is the value of f(7) (0)? (c) What is the value of f(1000) (0)? Jo(x) (a) Find the radius of convergence and the interval of convergence of the power series above (i.e., the set of values for which Jo() is defined). (-1)"2n 22n (n!)² n=0

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A: Apply integration by parts:

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