Find the horizontal asymptote if it exists of the rational f

Find the horizontal asymptote, if it exists, of the rational function below. If there is no horizontal asymptote, enter NONE. h(x) = -7 - 6/x^3 + 8x/x + 3 The horizontal asymptote has equation

Solution

given function is

h(x) = -7 - (6/x^3) + (8x/(x + 3))

Asymptotes for x ===> -infinite =========> y = 1

Asymptotes for x ===> infinite =========> y = 1

so, horizontal asymptotes ===> y = 1