A compact system of inequalities for the standard limits in the theory of limits

The purpose of the paper is an alternative way of obtaining of the standard limits in the elementary theory of limits. The approach uses two double inequalities xe^-x ≤ sin x ≤ xe^x and xe^-x ≤ shx ≤ xe^x and the limit transition. The method is applied to both standard limits simultaneously, t...

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Bibliographic Details
Date:2013
Main Authors: Mironenko, L.P., Vlasenko, A.Yu.
Format: Article
Language:English
Published: Інститут проблем штучного інтелекту МОН України та НАН України 2013
Series:Искусственный интеллект
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/85162
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A compact system of inequalities for the standard limits in the theory of limits / L.P. Mironenko, A.Yu. Vlasenko // Искусственный интеллект. — 2013. — № 2. — С. 63–70. — Бібліогр.: 6 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine