一类二元有理分式函数极限的存在性探析

Existence of Limits of a Class of Bivariate Rational Functions

本文为一类二元有理分式函数极限的存在性建立了一个幂指数判定定理,其结果与文[3,4]中的结论保持一致.通过总结本文曲线路径的构造经验,给出了一个证明二元函数极限不存在的常用的曲线路径的构造方法.

This paper presents an exponent criterion for the existence of limits of a class of bivariate rational functions.Constructions of paths to prove the nonexistence of limits of bivariate rational functions are given as well.