换元法在求极限中的应用举例  

Application for Element Method in Limit Operation

作　　者：丁艳风[1] 张玉灵[1] 

机构地区：[1]郑州升达经贸管理学院共同学科部,河南郑州451191

出　　处：《科技创新导报》2015年第34期249-250,256,共3页Science and Technology Innovation Herald

摘　　要：换元法又称变量替换法,它在参与数学计算和其他学科中起着重要的作用。在数学计算中不仅在所有中学数学计算中起着举足轻重的作用,在大学数学上的作用也不可忽视。该文仅就大学数学微积分课程中,换元法在求极限运算中的作用做一下简单阐述,通过例子我们将会看到换元法无处不在,只要灵活运用,不管多么抽象、多么复杂的数学式子都会变得容易多了。极限过程有很多种,我们通过常见的学生易错的"0/0"型、"0·∞"型、"∞-∞"型等未定式的极限来体现一下换元法的妙处。Change element method called variable substitution method,it plays an important role in mathematics and other disciplines.In mathematics not only in the calculation of all the middle school mathematics plays an important role in College Mathematics role can not be ignored.The calculus mathematics courses in universities,change element method in limit operation do a simple exposition,through examples,we will see changing Yuan Law is everywhere,as long as the flexible use,regardless of how abstract,how complex mathematical formula will type without becomes much easier.Limit process there are many,we through the common student error prone ＂0/0＂type、＂0·∞＂type、＂∞-∞＂ formulary limit to reflect the look for the beauty of element method .

关 键 词：换元法 极限 未定式 罗比达法则 

分 类 号：O17[理学—数学]