# series, radius of convergance and interval of convergance

• Jun 26th 2010, 01:03 PM
momo55
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)
• Jun 26th 2010, 01:35 PM
lilaziz1
$\lim_{n\rightarrow\infty} \frac{n!^k}{(kn)!} * x^n$

Try the Ratio Test.
• Jun 27th 2010, 03:26 PM
momo55
Quote:

Originally Posted by lilaziz1
$\lim_{n\rightarrow\infty} \frac{n!^k}{(kn)!} * x^n$

Try the Ratio Test.

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