# Integral Involving L'Hopital's Rule

$\displaystyle 2(1-e^2){\lim_{n \to \infty}(\frac{\frac{e^{2/n}}{n}}{1 - e^{2/n}})$
From my understanding, L'Hopitals rule involves the constant differentiation of a function to a point where that function is no longer in an indeterminate form. Where do I even begin here? Do I start off by finding the derivative of $e^{2/n}$? Help would me much appreciated.