摘要
首先阐明了数列极限的保号性与保不等式性的等价性,然后进一步探讨了数列极限的保号性、保不等式性与函数极限的局部保号性、局部保不等式性之间的关系.这些结果是现有高等数学或数学分析教材的有益补充.
In this paper,we show the equivalence of the properties of guaranteeing sign and guaranteeing inequality for limitation of the sequence of number.Furthermore,we discuss the relationships between the properties of guaranteeing sign and guaranteeing inequality for the limit of the sequence of number and the limit of function.These results are the useful and indispensable supplements to the relating current text books for the college students on campus.
出处
《赣南师范学院学报》
2011年第3期7-9,共3页
Journal of Gannan Teachers' College(Social Science(2))
基金
江西省教育厅科技研究项目(GJJ08388)
关键词
极限
函数
保号性
保不等式性
limit
function
property of guaranteeing sign
property of guaranteeing inequality