摘要
借助于等价无穷小量替换技术、L’Hopital法则、Taylor展开式,给出第十届(2018年)中国大学生数学竞赛非数学专业类预赛第一题第4小题的10种解答方法。从上述解法的求解过程中得到的启发对该题结论进行了一点拓展与延伸.
By means of the technique of subsutituting equivalent infinitesimals,L’Hopital’s rule and Taylor’s polynomial expansion,10 ways are provided to solve Question 4 of Problem I in preliminary contest(for non-mathematics-majored students)of the 10 th Chinese College Students’Mathematics Competition in 2018.Extension of the concerned question is derived from illumination from solving process of the aforementioned solutions.
出处
《芜湖职业技术学院学报》
2019年第4期51-56,共6页
Journal of Wuhu Institute of Technology
基金
国家自然科学基金(11701050,11571244)
四川省教育厅项目(18ZB0098)
成都师范学院校级培育项目(CS18ZD07)
成都师范学院校级教改项目(2017JG13)
关键词
大学数学
数学竞赛
函数极限
college mathematics
mathematics competition
function limit
