【正文】
[10] 崔克儉,應(yīng)用數(shù)學(xué)[ M ],北京:中國農(nóng)業(yè)出版社,2022.[11] 張?jiān)葡? 高等數(shù)學(xué)教學(xué)[J]. 山西財(cái)政稅務(wù)??茖W(xué)校學(xué)報(bào) , .[12] 任治奇 , [M]. 渝西學(xué)院學(xué)報(bào)(社會(huì)科學(xué)版) , [13] Song QB, Shen J Y. On illegal coping and distributing detection mechanism for digital goods [J]. Journal of Computer Research and Development , 2022, 38(1): 121 125.[14] Shivakumar N, H. SCAM: A Copy Detection Mechanism for Digital Documents [A]. The 2nd International Conference in Theory and Practice of Digital Libraries[C]. USA Austin Texas: [s. n], 1995: 9 17.[15] Shivakumar N, H. Building a Scalable and Accurate Copy Detection Mechanism [A]. The 1st ACM Conference on Digital Libraries[C]. USA Bethesada Maryland: [s. n], 1996: 34 41.13【ABSTRACT】Dimensionless from put forward to some twists and turns after the formal definition, triggered a crisis of mathematics, equivalent infinite small forward, can say is of epochmaking significance in the field of calculus, which in order to solve the problems of the positive series and limit type has brought great convenience, especially on the limit problem. Here we only focus on it in the limit as well as the advantages of application of equivalent infinitesimal substitution is an application of a wide range of limit method, but should pay attention to abide by the dimensionless replacement rule, to make the calculation is simplified without error, in this paper is to discuss the application of course should pay attention to matters. The correct use of equivalent infinite small can solve l 39。hospital39。s rule can39。t solve the problem. In limit problem, there are many ways, such as the use of two important limits of limit, the use of l 39。hospital39。s rule and equivalent infinitesimal substitution limit and Taylor formula method, these methods has its superiority, but we always want to seek one of the most simple and convenient method to get the results, has an irreplaceable position of equivalent infinitesimal replacement, and is advantageous to simplify the calculation of the role. 【Keywords】: Equivalent infinite small。 L 39。hospital39。s rule。 Two important limits。 Taylor formula。 Superiority.