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**1. Homework Statement**

Find the limit of the expression below as x->inf

**2. Homework Equations**

[tex]\frac{\sqrt{x^2-4}(x^2 + 2)}{24x^3}[/tex]

**3. The Attempt at a Solution**

Well I know the answer is 1/24...

I say use l'Hospitals rule but it gets messy, no? Is there a better way to do this?