Question

How do you find the slant asymptote of `(2x-4)/(x^2-4)`?

Answer 1

There is no slant asymptote if the polynomial in the denominator is a higher degree compared to the polynomial in the numerator.

Explanation:

Since `x^2` is a higher degree compared to `2x`, there is no slant asymptote.

There is a horizontal asymptote at `y=0` and two vertical asymptotes at `x=+-2`

hope that helps