一类特殊数列极限的求法  

The Solution of the Limit of a Kind of Special Sequence of Numbers

作　　者：曾赤洁 ZENG Chijie(School of Mathematiesand Physics,West Yuman University,Lincang,Yunnan Province,677000 China)

机构地区：[1]滇西科技师范学院数理学院,云南临沧677000

出　　处：《科技资讯》2021年第10期225-227,共3页Science & Technology Information

摘　　要：极限是数学分析这门课程的研究工具,是贯穿整门课程的知识点。其中数列极限的计算是数学分析学习中的重要内容,也是各种上岗考试和研究生入学考试的重要考点。在极限的计算中,一类带有“n!”的数列的极限一直以来是计算的难点。该文就这一类带有“n!”的数列极限的计算展开讨论,从学生已有的知识结构出发,给出了几个行之有效的计算方法。In the course of Mathematical Analysis,the limit is a tool to study problems,and the knowledge about the limit runs through the whole course.The calculation of the limit of a sequence of numbers is an important part of the study of mathematical analysis.It is also an important test point for various post examinations and Postgraduate Admission Test.In the calculation of limit,the limit of a kind of sequence with"n!"has always been a difficulty.In this paper,the calculation of the limit of this kind of sequence with"n!"is discussed.Starting from the students’existing knowledge,several effective calculation methods are given.

关 键 词：数列极限 迫敛性 级数 定积分 极限定义 

分 类 号：O172.1[理学—数学]