摘要
探究第六届全国大学生数学竞赛非数学专业组预赛第一题的数列极限问题,对该问题提出七种解答思路。对解答过程中引入的幂级数提出四种计算其和函数的方法,同时还把部分研究结果推广的更一般的情形。
After investigating the limit question of Problem Ⅰ in the prelimilary test of the 6th National Chinese Mathematics Contest,seven methods are provided to solve the concerned question;four methods are desgined to compute the sum of an auxiliary series introduced in solving the concerned problem;and the result of this question is generalized to other cases.
作者
王成强
WANG Cheng-qiang(School of Mathematics,Chengdu Normal University,Chengdu Sichuan 611130)
出处
《潍坊工程职业学院学报》
2019年第6期51-55,共5页
Journal of Weifang Engineering Vocational College
基金
国家自然科学基金(11701050、11571244)
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
一题多解
变式教学
college mathematics
mathematics contest
multiple ways to solve a problem
variant problem teaching
