几类未定式的k阶无穷小替换  

The Replacement with k-order Infinitesimal in Several Kinds of Indeterminate Form

作　　者：顾艳红[1] 罗宝华[1] 张桂芳[1] 

机构地区：[1]北京林业大学理学院数学系,北京100083

出　　处：《北京教育学院学报（自然科学版）》2014年第2期1-6,共6页Journal of Beijing Institute of Education

基　　金：中央高校基本科研业务费专项资金资助YX2013-32;北京林业大学"近世代数"课程建设项目

摘　　要：应用极限的运算法则及等价无穷小替换定理,对几类幂指型及有关的未定式,把其中的无穷小用其k阶无穷小替换后,得到了未定式极限的变化规律,最后应用所得结论解决了几个未定式求极限问题.Utilizing the algorithm of limit and the replacement theorem of equivalent infinitesimal, the limit on several kinds of indeterminate form is studied. The variation regularities of limit are obtained when the infinitesima of several kinds of indeterminate form is replaced by its k - order infinitesimal. Finally, sev- eral examples are solved with the acquired conclusion.

关 键 词：未定式 极限 k阶无穷小 

分 类 号：O171[理学—数学]