$\lim _{n \rightarrow \infty}\left(\frac{(n+1)(n+2) \ldots . .3 n}{n^{2 n}}\right)^{1 / n}$ is equal to :-
$3 \log 3-2$
$\frac{18}{\mathrm{e}^{4}}$
$\frac{27}{\mathrm{e}^{2}}$
$\frac{9}{e^{2}}$
Correct Option: , 3
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