Question

How do you find the horizontal asymptote for `F(x)=(x^2+x-12) / (x^2-4)`?

Answer 1

see explanantion

Explanation:

As `x` becomes very large the remaining elements have less and less influence.

We end up with`" " x^2/x^2 = 1`

`lim_(x->oo) (x^2+x-12)/(x^2-4) = x^2/x^2=+1`

`lim_(x->-oo) (x^2+x-12)/(x^2-4) = x^2/x^2=+1`