Math Help - Cauchy's Root test

1. Cauchy's Root test

How do you do cauchy's root test of $e^n/(((3n)^n) + 4)$

How do you do cauchy's root test of $e^n/(((3n)^n) + 4)$
$\sqrt[n]{\frac{e^n}{(3n)^n+4}}=\frac{e}{\sqrt[n]{(3n)^n+4}}\leq \frac{e}{3}<1$ ...