A slant (oblique) asymptote occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator. To find the slant asymptote you must divide the numerator by the denominator using either long division or synthetic division.Examples...
If the degree of the numerator is exactly 1 more than the degree of the denominator, then there is a slant (or oblique) asymptote, and it's found by doing the long division of the numerator by the denominator, yielding a straight (but not horizontal) line.Now...
A rational function will have a slant or oblique asymptote if the degree of the numerator is exactly one higher than the degree of the denominator. How do you find the slant asymptote? The slant asymptote can be found using the limit method shown in the lesson, or for rational functions by...