谈拉格朗日中值定理在高等数学课程教学中的应用  

Application of Lagrange's Mean Value Theorem in Advanced Mathematics Teaching

作　　者：石业娇[1] 

机构地区：[1]大连海洋大学应用技术学院,辽宁大连116300

出　　处：《常州信息职业技术学院学报》2014年第5期26-28,共3页Journal of Changzhou College of Information Technology

摘　　要：拉格朗日中值定理是微分学的基础定理之一,是连接函数及其导数之间关系的桥梁,有着广泛的应用。文章用七个例题,从三大方面总结了拉格朗日中值定理的灵活应用。这对于正确的理解和掌握拉格朗日中值定理,以及以后进一步学习数学具有重要的作用和深远的意义。Lagrange＇s Mean Value Theorem is one of the fundamental theorems in calculus, and is the bridge which connects function and its derivatives. It has a wide range of applications. The paper adopts seven examples from three aspects to summarize the flexi- ble application of Lagrange＇s Mean Value Theorem. This will play an important role and have far-reaching significance for fur- ther study in mathematics as well as the understanding and grasp of Lagrange＇s Mean Value Theorem.

关 键 词：拉格朗日中值定理 应用 证明 极限 敛散性 

分 类 号：O172-4[理学—数学]