Question

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

Answer 1

hey it does not converge

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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