高职数学中函数求极限方法总结  

Summary of Methods for Computing the Limits of Functions in Higher Vocational Mathematics

作　　者：马文慧 MA Wenhui(Department of Basic Education,Tianjin Transportation Technical College,Tianjin,300380 China)

机构地区：[1]天津交通职业学院基础教学部,天津300380

出　　处：《科技资讯》2024年第6期231-234,共4页Science & Technology Information

摘　　要：极限是高职数学课程中最为基础的学习内容,它既是前面函数部分内容的加深与延续,又是后续连续、导数、积分等知识的前提与基础。因此,函数极限在整个高职数学中的重要性不言而喻。而求函数极限的方法种类繁多、灵活多变,对此高职学生不易熟练掌握,往往感到束手无策。同时总结出一些高职学生能理解的求函数极限的常用方法,并结合例题解析每种方法的适用极限类型和注意事项,旨在帮助高职学生能更好地理解与解决函数求极限的问题。The limit is the most basic learning content in higher vocational mathematics courses,which is not only the deepening and continuation of the content of previous functions,but also the premise and foundation of the subsequent continuity,derivative,integral and other knowledge,so the importance of functional limits in higher vo⁃cational mathematics is self-evident.The methods of computing the limits of functions are various and flexible,which is not easy for vocational college students to master proficiently and often makes them feel helpless.The au⁃thor summarizes some common methods for computing the limits of functions that higher vocational college stu⁃dents can understand,and analyzes the applicable limit types and precautions of each method in combination with examples,aiming to help higher vocational college students better understand and solve the problem of computing the limits of functions.

关 键 词：高职数学 函数极限 函数图像 洛必达法则 

分 类 号：O174[理学—数学]