Limits of Rational Functions at Infinity
- Author:
- David Kedrowski
You have control over the slider , which changes the degree of the numerator of the given rational function. Notice that:
- when the degree of the numerator is smaller than the degree of the denominator, there's a horizontal asymptote ,
- when the degree of the numerator is equal to the degree of the denominator, there's a horizontal asymptote (the ratio of the leading coefficients),
- when the degree of the numerator is one greater than the degree of the denominator, there's a slant (oblique) asymptote, and
- when the degree of the numerator is more than one greater than the degree of the denominator, there's no horizontal or slant asymptote.