New View of the limit of power exponential functions

Release time:2016-04-22

Affiliation of Author(s):Central South University

Teaching and Research Group:Department of information science

Journal:College Mathematics

Place of Publication:Hefei

Funded by:Central South University fund

Key Words:极限；幂指函数；不定型

Abstract:Through three types of infinitesimals, this paper discusses the undetermined type of limit of power-exponential functions and draws useful conclusions. On the basis of speeds of two variables approaching zeros, that is, equivalent, same order, higher order, to analyze the limits. When one of them approaches zero slowly, it can be seen as a finite number. Several examples are provided to show the new method.

Co-author:邓松海, 魏昊天, 杨瑞晗, 郑洲顺

Indexed by:Unit Twenty Basic Research

Document Code:1672-1454(2015)06-0077-03

Document Type:J

Volume:31

Issue:6

Page Number:77-79

ISSN No.:1672-1454

Translation or Not:no

CN No.:34122101

Date of Publication:2015-12-22