Find any horizontal / slant / curvilinear asymptotes of the function
We do long division:
Now we can rewrite the function f as
We know that the limit of as x approaches ∞ or -∞ is 0.
As x gets very large or very negative, is so small we don't need to bother with it. It's like when x is very large or very negative, f(x) is pretending to be 2. Since this is a constant, we have a horizontal asymptote