I need help to figure out how to approximate the horizontal

Solution

A horizontal asymptote of a rational function is found by comparing the degrees of the numerator and the denominator Let us call the degree of the numerator m Let us call the degree of the numerator n If m > n, no HA if m < n, HA is y = 0 if m = n, HA is y = the ratio of the leading coefficients in the given problem, m = 1 and n = 1 Since m = n, the HA is y = -9/1 = -9 BOL