English

On Half Cauchy Sequences

Classical Analysis and ODEs 2011-02-24 v1

Abstract

In this note we introduce and define half Cauchy sequences. We prove that a sequence of real numbers is convergent if and only if it is bounded and half Cauchy. We also provide an example of how the concept may be used.

Keywords

Cite

@article{arxiv.1102.4641,
  title  = {On Half Cauchy Sequences},
  author = {Frank J. Palladino},
  journal= {arXiv preprint arXiv:1102.4641},
  year   = {2011}
}
R2 v1 2026-06-21T17:30:20.077Z