关于等价无穷小在求函数极限中的推广  

The Generalization of Equivalent Infinitesimal in Solving the Limit of Function

作　　者：刘明术 王兰芬 LIU Mingshu;WANG LanFen(Huangshan Vocational and Technical College,Huangshan 245000,China;Xiaozhou Central School of She County,Huangshan 245200,China)

机构地区：[1]黄山职业技术学院,安徽黄山245000 [2]歙县小洲中心学校,安徽黄山245200

出　　处：《玉溪师范学院学报》2023年第3期18-22,共5页Journal of Yuxi Normal University

摘　　要：高等数学中利用等价无穷小替换定理求某些函数极限的时候,既简便又快捷,但又受到一些条件的限制.因此,推广对几个等价无穷小替换定理,拓展了等价无穷小替换的条件和应用范围.In advanced mathematics,it is simple and efficient to use the equivalent infinitesimal substitution to find the limit of some functions,but its usage is limited by some conditions.As a result,substitution theorems for several equivalent infinitesimals are generalized and the conditions and application range of equivalent infinitesimal substitution are extended.

关 键 词：等价无穷小 极限 未定式极限 等价替换 洛必达法则 

分 类 号：O172.1[理学—数学]