Find the radius of convergence. Can you identify the sum as a familiar function in some

Chapter 15, Problem 15.1.125

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Find the radius of convergence. Can you identify the sum as a familiar function in some of the problems? (Show the details of your work.)

\(\sum_{n=1}^{\infty} \frac{n^{5}}{n !}(z-3 i)^{2 n}\)

Text Transcription:

sum_{n = 1}^{infty} n^{5} / n! (z - 3i)^{2n}

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