Question

How do I find the radius of convergence of a series where n=1 to infinity of (14^(n)x^(n)n!)?

I have tried using the ratio test but I eventually get to this step: lim as n approaches infinity of absolute value of (14x(n+1)), which equal infinity. How am I to set the absolute value of infinity to less than 1 in order to find radius of convergence?

Any help would be appreciated!
Thanks in advance!