Look at the behavior of the function as and as . Then look at the behavior as from both the right and the left. Consider the sign of the function value on the following intervals: , , and
Remember, the horizontal asymptote of a rational function where the numerator an denominator are of equal degree is where is the lead coefficient of the numerator and is the lead coefficient of the denominator.
John
My calculator said it, I believe it, that settles it
