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]}