Find the​ vertical, horizontal, and oblique​ asymptotes, if​ any, for the following rational function. R(x)= (x^3-8)/ x^2-3x+2

Question

Find the horizontal asymptotes. Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) to complete your choice.

Answer 1

To find the horizontal asymptotes of the rational function R(x) = (x^3 - 8) / (x^2 - 3x + 2), we need to compare the degrees of the numerator and denominator.

The degree of the numerator is 3 and the degree of the denominator is 2. Since the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

Therefore, there are no horizontal asymptotes for the given rational function.