Suppose it is known that the coefficients in the expansion f (x) = n=0 an xn satisfy n=0

Chapter 11, Problem 15

(choose chapter or problem)

Suppose it is known that the coefficients in the expansion f (x) = n=0 an xn satisfy n=0 (n + 2)an+1xn n=0 an xn = 0. Show that f (x) = a0 x n=0 1 (n + 1)! xn+1, and express this in terms of familiar elementary functions. 16

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