1. The problem statement, all variables and given/known data Find the radius of convergence of [tex]\sum[/tex]n!*xn from n=0 to [tex]\infty[/tex] 2. Relevant equations 3. 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.