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函数上、下极限与数列上、下极限关系的探讨
引用本文:张金. 函数上、下极限与数列上、下极限关系的探讨[J]. 高师理科学刊, 2010, 30(6): 35-38. DOI: 10.3969/j.issn.1007-9831.2010.06.013
作者姓名:张金
作者单位:宿迁高等师范学校数学系,江苏宿迁223800
摘    要:将数列上、下极限的定义与有关性质推广,给出函数上、下极限的定义与相关性质,探讨与证明了它们之间的关系,并由此解决一些与上、下极限相关的问题.

关 键 词:函数  数列  上极限  下极限

On the relationship between the upper limit and lower limit of functions and series
ZHANG Jin. On the relationship between the upper limit and lower limit of functions and series[J]. Journal of Science of Teachers'College and University, 2010, 30(6): 35-38. DOI: 10.3969/j.issn.1007-9831.2010.06.013
Authors:ZHANG Jin
Affiliation:ZHANG Jin(Department of Mathematics,Suqian Higher Normal School,Suqian 223800,China)
Abstract:Popularized the definition and natures of upper and lower limits of the series,gave the definition and natures of upper and lower limits of the function,discussed and demonstrated the relationship between them,and thus resolve some of issues related the upper and lower limits.
Keywords:function  series  upper limit  lower limit
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