## anonymous 5 years ago How do I tell when the series Summation(n!(x-3)^n) converges?

1. anonymous

hey it does not converge

2. anonymous

How does one tell that it doesn't at all?

3. anonymous

$\sum_{n=1}^{\infty}n!(x-3)^n$

4. anonymous

checkout Paul's math page on this topic - it's really helpful http://tutorial.math.lamar.edu/Classes/CalcII/ConvergenceOfSeries.aspx

5. anonymous

I've got it figured out for those that may find this for help; the series will converge only for x=3.