How do you find vertical, horizontal and oblique asymptotes for #(x^2)/(x-1)#?
Vertical asymptote at
Oblique asymptote at
A vertical asymptote occurs where the denominator is equal to
So we have:
So a vertical asymptote will occur where
The degree of the numerator is greater than the degree of the denominator so the function will not have horizontal asymptotes but will have oblique ones. To find them: we must split the fraction up like so:
So for very large values of