Study on the Sufficient Certification of Cauchy Convergence Criterion
Wan Ming · 2017
Cauchy criterion is widely used in mathematical analysis, is the basic theory of mathematical analysis.We prove the Cauchy convergence criterion by using the interval proof theorem and the compactness theorem.In most of the research results, the basic theorem of the real number system is proved in a chain-like manner, and finally an argument ring is formed.The proof of the Cauchy criterion is the focus and the difficulty, especially its adequacy.This paper focuses on the Cauchy convergence criterion sufficient proof, the necessity is simple, this paper only gives a proof.