English

Existence of limit of multivariable function

General Mathematics 2024-10-08 v4

Abstract

This article provides several theorems regarding the existence of limit for multivariable function, among which Theorem 1 and Theorem 3 relax the requirement for sequence of Heine's definition of limit. These results address the question of which paths need to be considered to determine the existence of limit for multivariable function.

Cite

@article{arxiv.2403.19673,
  title  = {Existence of limit of multivariable function},
  author = {Ming Yang},
  journal= {arXiv preprint arXiv:2403.19673},
  year   = {2024}
}
R2 v1 2026-06-28T15:37:30.848Z