paper

A General Formula for Asymptotes of Rational Polynomial Functions

arXiv:2104.06185

Abstract

We propose a formula for finding the horizontal, oblique or curvilinear asymptote of any rational polynomial function of any positive degree, as a sum of matrix determinants formed directly from the coefficients of the terms in the given polynomial. This formula provides a new means of computing asymptotes in addition to the standard methods of Euclidean division and the evaluation of limits.

15 pages

A General Formula for Asymptotes of Rational Polynomial Functions · wovepaper