一道幂指复合函数极限的多种求法及可视化  

Multiple Methods and Visualization of the Limit of a Power Exponential Composite Function

作　　者：王培颖 谢绍龙 许清河 张振昊 Wang Peiying;Xie Shaolong;Xu Qinghe;Zhang Zhenhao(College of General Education,Guangzhou Institute of Technology,Guangzhou Guangdong 510540,China)

机构地区：[1]广州理工学院通识教育学院,广东广州510540

出　　处：《衡阳师范学院学报》2022年第6期19-21,共3页Journal of Hengyang Normal University

基　　金：校级精品资源共享课项目(2017XJJG06);校级教学成果奖培育项目(2019JXJPY020)。

摘　　要：极限是高等数学中的重要内容,也是研究生入学考试的考点之一。本文对一道幂指复合函数的极限问题利用多种方法求解,锻炼了同学们多角度考虑问题的能力,同时用MATLAB软件计算并画出曲线,通过曲线的变化规律,帮助同学们理解和掌握极限的求法,并且利用可视化的方法,说明了所求极限的正确性。Limit is an important part of higher mathematics and one of the test sites of graduate entrance examination. In this paper, the limit problem of a power exponential composite function is solved by many methods, which not only trains the students to consider the problem from multiple angles At the same time, MATLAB software is used to calculate and draw the curve. Through the change law of the curve, it helps students understand and master the calculation method of the limit. At the same time, it uses the visual method to explain the correctness of the limit.

关 键 词：极限 罗必达法则 无穷小量 拉格朗日中值定理 MATLAB 

分 类 号：O171[理学—数学]