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## Homework Statement

Find the radius of convergence of

[tex]\sum[/tex]n!*x

^{n}from n=0 to [tex]\infty[/tex]

## Homework Equations

## The Attempt at a Solution

I did the ratio test and was able to get it down to abs(x) * lim as n approaches [tex]\infty[/tex] of abs(n+1). It seems to me that the radius of convergence would be 0 but the answer key says that it is [tex]\infty[/tex] so can someone help explain this.