一类幂指函数的二重极限的存在性  

Limits of a Class of Exponential Functions in Two Variables

作　　者：刘颖 陈逸藻 LIU Ying;CHEN Yizao(College of Science, Shenyang Aerospace University, Shenyang 110136;School of mathematics, Liaoning University,Shenyang 110136)

机构地区：[1]沈阳航空航天大学理学院,辽宁沈阳110136 [2]辽宁大学数学院,辽宁沈阳110136

出　　处：《高等数学研究》2019年第2期11-13,共3页Studies in College Mathematics

摘　　要：通过选取极坐标系下的不同路径,证明了几类"0~0"型未定式的二重极限的不存在性;通过两边夹准则获得了一些"0~0"型未定式的二重极限的存在性,进而给出了研究底数和指数都是二元多项式函数的"0~0"型未定式的二重极限的一般方法.By selecting different paths in polar coordinate system, we prove the nonexistence of limits of some “0 0” type functions in two variables and obtain the existence of limit of some “0 0” type by means of the squeeze theorem. Furthermore, a general method is given to study the limit of “0 0” type functions with both the base and the exponent are polynomial functions in two variables.

关 键 词：二重极限 “00”型 极坐标 

分 类 号：O172[理学—数学]