How do you find the limit of a function as it approaches infinity, especially when the function is a ratio of two polynomials?

Answer 1

Daniel Smith

To find the limit of a ratio of two polynomials as the variable approaches infinity, compare the degrees of the numerator and the denominator. If the degrees are the same, the limit is the ratio of the leading coefficients. If the degree of the numerator is higher, the limit is infinity. If the degree of the denominator is higher, the limit is zero.