浅谈函数局部有界与收敛的关系  

Discussion on the Relationship Between Local Boundednessand Convergence of Functions

作　　者：吴晓红 Xiaohong Wu(School of Mathematics and Big Data,Hohhot Minzu College,Hohhot,Inner Mongolia,010051,China)

机构地区：[1]呼和浩特民族学院数学与大数据学院,内蒙古呼和浩特010051

出　　处：《教学方法创新与实践》2020年第2期5-6,共2页Innovation and Practice of Teaching Methods

摘　　要：函数的局部有界与收敛之间的关系是《数学分析》课程中经常困扰学生的一个知识点。本文进一步详细阐述“单调有界定理”,使学生更加清晰地把握局部有界与收敛之间的辩证关系。The relationship between local boundedness and convergence of a function is a knowledge point that often plagues students in the course of“Mathematical Analysis”.This paper further elaborates on“monotonic boundedness”to enable students to more clearly grasp the dialectical relationship between locally bounded and convergence.

关 键 词：收敛 单调函数 局部有界 邻域 

分 类 号：O17[理学—数学]