## Related questions with answers

Question

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

$\sum_{n=0}^2 \frac{(n !)^k}{(k n) !} x^n$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 5The goal is to determine the radius of convergence $R$ of the series whose general term is

$\frac{(n!)^{k}}{(kn)!}\cdot x^{n}$

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