SCalcET$911\mathrm{.}6\mathrm{.}019.$ Use the Ratio Test to determine whether the series is convergent or divergent. $\backslash$infty $369(3$n$)$ n$!$ n $=1$ Identify an$.369(3$n$)$ n $(3$n$)!$ n$!(3$n$)!$ n $369(3$n$)$ n$!3$n$!$ n$!$ Evaluate the following limit$.$ lim n $->\backslash$infty an $1$ an Since lim n $->\backslash$infty an $1$ an $1,.$