How do I tell when the series Summation(n!(x-3)^n) converges?

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How do I tell when the series Summation(n!(x-3)^n) converges?

Mathematics
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hey it does not converge
How does one tell that it doesn't at all?
\[\sum_{n=1}^{\infty}n!(x-3)^n\]

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checkout Paul's math page on this topic - it's really helpful http://tutorial.math.lamar.edu/Classes/CalcII/ConvergenceOfSeries.aspx
I've got it figured out for those that may find this for help; the series will converge only for x=3.

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