Finding the limit of (x²−4)/(2+x−4x²) as x approaches infinity

[lLovePhysics]

Homework Statement

I'd like hints as to how to solve this problem. Thanks!

$$\lim_{x\rightarrow{\inf}}{\frac{x^2-4}{2+x-4x^2}}$$

Homework Equations

I think I would begin by dividing out the fraction to get rid of the x^2? Is this the right way to start?

The Attempt at a Solution

 

[Snazzy]

Yes.