一个数列极限问题的探讨  

Discussion of a Sequence Limit Problem

作　　者：王家正 金永容 WANG Jia-zheng;JIN Yong-rong(School of Mathematics and Statistics,Hefei Normal University,Hefei 230601,China)

机构地区：[1]合肥师范学院数学与统计学院,合肥230601

出　　处：《大学数学》2018年第4期115-117,共3页College Mathematics

基　　金：安徽省卓越人才培养计划项目(2014zjj031)

摘　　要：探讨了极限limn→∞(1+(2+…+(n-1+n^(1/2))^(1/2))^(1/2))^(1/2)的存在性,给出了极限值的估计方法,并将该数列极限问题进行了推广.The existence of limit of sequence limn→∞√1＋√2＋^…＋√n-1＋√n is discussed, then an estimation method of limit value is given. The sequence limit problem is also generalized.

关 键 词：极限 数列 单调 

分 类 号：G642.0[文化科学—高等教育学]