Application of Taylor Theorem on Getting Limit with Substitution of Equivalence Infinitesimal
Zheng Ruigen
Abstract
Zheng Ruigen
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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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