(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

k is a positive integer.

[itex]\sum^{\infty}_{n=0}[/itex] [itex]\frac{(n!)^{k+2}*x^{n}}{((k+2)n)!}[/itex]

2. Relevant equations

3. The attempt at a solution

I have no idea.. this is too confusing. I tried the ratio test (which is the only way I know how to deal with factorials) but I get stuck at the following

lim n->[itex]\infty[/itex] of | x(n+1)[itex]^{k+2}[/itex][itex]\frac{[(k+2)n]!}{[(k+2)(n+1)]!}[/itex] |

I can't seem to find a way to cancel out the factorials in the fractional portion of that

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# Homework Help: Trying to find the radius of convergence of this complicated infinite series

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