摘要
利用辅助函数以及上下极限的概念,完全从定义出发,给出针对Cauchy准则充分性的一种证明.
Almost all the textbooks use the Heine＇s Theorem to prove the sufficient condition of Cauchy Criterion. Moreover, it is difficult to prove the Heine＇s Theorem. In this paper, a different approach is given which is more easily understood.
出处
《高等数学研究》
2012年第5期42-42,53,共2页
Studies in College Mathematics
关键词
辅助函数
上极限
下极限
Cauchy准则
auxiliary function, superior limit, lower limit, Cauchy criterion
