与定积分有关的极限  

Limits Involved with Definite Integral

作　　者：黄永忠[1] 王德荣[1] 何涛[1] HUANG Yong-zhong;WANG De-rong;HE Tao(School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]华中科技大学数学与统计学院,武汉430074

出　　处：《大学数学》2019年第2期71-77,共7页College Mathematics

基　　金：华中科技大学教学研究专项项目(2018021)

摘　　要：对于与定积分有关的数列极限,梳理一些已知结论,得到两个命题.给出多个应用例子,有些例子本身就是有用结论.This paper is concerned with the limit involving definite integral.Some known results are combed,two results are obtained.Moreover,lots of examples are given,some of which also are interesting results.

关 键 词：定积分 Arzela有界收敛定理 RIEMANN引理 Tannery定理 

分 类 号：O177.5[理学—数学]