?If k is a positive integer, find the radius of convergence of the series

Chapter 11, Problem 39

(choose chapter or problem)

If k is a positive integer, find the radius of convergence of the series

$\sum_{n=0}^{\infty} \frac{(n !)^{k}}{(k n) !} x^{n}$

Equation Transcription:

$\sum\limits_{n=0}^{\infty{}}\frac{(n!{)}^{k}}{(kn)!}{x}^{n}$

Text Transcription:

sum of n=0^infinity (n!)^k/(kn)! x^n

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