Hi my question is this:

If two functions, sayfandgare defined on an open set $\displaystyle (a,\infty)$, $\displaystyle a\in\mathbb{R}$ where

$\displaystyle \lim_{x \to \infty}f(x)=L$ and $\displaystyle \lim_{x \to \infty}g(x)=+\infty$,

how can I show that $\displaystyle \lim_{x\to\infty}(f\circ g)(x)=L$