Answer
Diverges
Work Step by Step
Consider $a_n=\dfrac{n! }{10^n}$
Now, $l=\lim\limits_{n \to \infty} |\dfrac{a_{n+1}}{a_{n}} |=\lim\limits_{n \to \infty}|\dfrac{\dfrac{(n+1)! }{10^{n+1}}}{\dfrac{n! }{10^n}}|$
Thus, we have $l=(\dfrac{1}{10})\lim\limits_{n \to \infty}(n+1)=(\dfrac{1}{10})(\infty)$
So, $l=\infty \gt 1$
Hence, the series Diverges absolutely by the ratio test.