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2009•Journal of Shanxi Datong UniversityRequires access

Proof of Equivalence of Three Definitions of Upper and Lower Limits

Jie Zhang

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Abstract

In this paper,three kinds of definitions of upper and lower limits are enumerated.Moreover,equivalent proof of these definitions is presented.On teaching of upper and lower limits and related content,we conducted a preliminary study.

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In this paper,three kinds of definitions of upper and lower limits are enumerated.Moreover,equivalent proof of these definitions is presented.On teaching of upper and lower limits and related content,we conducted a preliminary study.

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Available abstract

In this paper,three kinds of definitions of upper and lower limits are enumerated.Moreover,equivalent proof of these definitions is presented.On teaching of upper and lower limits and related content,we conducted a preliminary study.

Key concepts: Upper and lower bounds, Equivalence (formal languages), Mathematics, Limit (mathematics), Calculus (dental), Discrete mathematics, Combinatorics, Mathematical analysis

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