$\lim_\limits{n \to \infty} \bigg( \large\frac{(n-1)(n+2)....3n}{n^{2n}}\bigg)^{1/n}$ is eaual to

Question

$\begin{array}{1 1}(1)\large\frac{18}{e^4}\\ (2)\large\frac{27}{e^2} \\(3) \large\frac{9}{e^2} \\ (4)3 \log 3-2 \end{array} $