2005•Journal of Nanping Teachers CollegeRequires access

Application of Taylor Theorem on Getting Limit with Substitution of Equivalence Infinitesimal

Zheng Ruigen

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Abstract

Getting limit with substitution of equivalence infinitesimal is a common,convenient and efficient way.But it's hard to get the equivalence infinitesimal.In this paper,we present a novel algorithm to get the equivalence infinitesimal using Taylor theorem,and the method to get limit with substitution of equivalence infinitesimal is also presented.

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What this paper is about

Getting limit with substitution of equivalence infinitesimal is a common,convenient and efficient way.But it's hard to get the equivalence infinitesimal.In this paper,we present a novel algorithm to get the equivalence infinitesimal using Taylor theorem,and the method to get limit with substitution of equivalence infinitesimal is also presented.

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Available abstract

Getting limit with substitution of equivalence infinitesimal is a common,convenient and efficient way.But it's hard to get the equivalence infinitesimal.In this paper,we present a novel algorithm to get the equivalence infinitesimal using Taylor theorem,and the method to get limit with substitution of equivalence infinitesimal is also presented.

Key concepts: Infinitesimal, Infinitesimal transformation, Equivalence (formal languages), Limit (mathematics), Mathematics, Taylor's theorem, Substitution (logic), Taylor series

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