series, radius of convergance and interval of convergance

am having trouble with this particular problem

the sum from 0 to infinity of (n!)^k/(kn)! * X^n

can someone also explain the ! factorial part to me please also

thank you very much (Bow)(Bow)(Bow)(Bow)

$\displaystyle \lim_{n\rightarrow\infty} \frac{n!^k}{(kn)!} * x^n$

Try the Ratio Test.

Quote:

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Originally Posted by lilaziz1

$\displaystyle \lim_{n\rightarrow\infty} \frac{n!^k}{(kn)!} * x^n$

Try the Ratio Test.

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should i include X^n also in the ratio test??