拟合思想在极限证明问题中的应用  

The Application of Fitting Thought in the Limit Proof Problems

作　　者：牛华伟[1] 兰奇逊[2] 

机构地区：[1]平顶山教育学院数学系,河南平顶山467000 [2]河南城建学院数理学院,河南平顶山467036

出　　处：《昆明冶金高等专科学校学报》2016年第3期59-62,67,共5页Journal of Kunming Metallurgy College

基　　金：国家自然科学基金项目:一类不确定非线性大系统的非光滑分散控制研究(61503122);河南城建学院校基金项目:广义双线性系统的输出变结构控制(2013JYB016)

摘　　要：采用拟合法针对高等数学中的一些极限问题进行研究。具体步骤为:首先根据已知条件将目标极限值进行分解;其次根据目标极限值和拟合法构造适当的函数将极限问题转化为函数拟合问题。通过函数拟合降低了问题的难度,为问题的解决找到了突破点。拟合的数值算例表明:基于拟合思想对极限问题进行研究不仅能够使复杂问题简单化,而且为看似某些无法解决的极限问题提供了一种思路,同时其也具有适用范围广的优点。In this paper,some limit problems in higher mathematics using fitting method were studied. Specific steps are as follows：first of all,the target limit value is decomposed according to the known con-ditions.Secondly,based on the target limit and proper fitting method,the limit problem is transformed into functional fitting problem.The function fitting reduces the difficulty of the problem and finds a break-through to resolve the limit problems.Numerical examples demonstrate that the proposed fitting based ap-proach for limit problems not only can simplify complex issues but also provides views for some problems which seem can＇t solve.This method has an advantage of wide range of application.

关 键 词：拟合 证明 极限 

分 类 号：O171[理学—数学]