# Limit Problem

1. Apr 7, 2008

### Feldoh

1. The problem statement, all variables and given/known data

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

2. Relevant equations

3. 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?

2. Apr 8, 2008

### jhicks

Write the first two or 3 highest order terms of the expansions of the numerator and denominator. You'd agree that all lower order terms become increasingly insigificant as x becomes large, right?

Last edited: Apr 8, 2008