英语翻译本文主要介绍等价无穷小在求函数极限中的应用与推广,通过实例探讨了用等价无穷小求函数极限的方法.提出了等价无穷小量

This paper mainly introduces the equivalent infinitesimal in the application and popularization of the limit of function, this paper discusses a method of equivalent infinitesimal limit of function. The Equivalent Infinitesimal Substitution Theorem, it can solve the function type product factor, algebra and not to limit, and in 3 kinds of indeterminate type, exponential function type and variable upper limit function limit types, describes in detail the application of Equivalent Infinitesimal in limit of function, on the basis of further conclusion, the promotion of equivalent infinitesimal in limit of function process is feasible. The reasonable application of Equivalent Infinitesimal in the replacement function limit can simplify the calculation, is a kind of very common, very quick method of seeking functional limit.