# How do you find the slant asymptote of #(x^3-1)/(x^2-9)#?

##### 1 Answer

Mar 9, 2016

It is obvious that as factors of denominator are

Horizontal asymptotes are there if highest degrees of numerator and denominator are same. For example, if highest term in numerator is

Here the degree of numerator is just one more than that of denominator and ratio of highest degree of numerator and denominator is

Hence, we have a slanting asymptote

graph{(x^3-1)/(x^2-9) [-32.47, 32.47, -16.24, 16.24]}