# Limit Problem

## Homework Statement

Find $$\lim_{x-> \inf} \frac{(8-x)^{200}}{8^{x+2}}*\frac{8^x}{(3-x^2)^{100}}$$

## The Attempt at a Solution

Simplified to:

$$\lim_{x-> \inf} \frac{(8-x)^{200}}{64(3-x^2)^{100}}$$

Indeterminant form, so I suppose L'hopital's, but it doesn't seem very efficient?