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ERIC Number: EJ915338
Record Type: Journal
Publication Date: 2011-Mar
Pages: 7
Abstractor: As Provided
Reference Count: 2
ISSN: ISSN-0020-739X
Polynomial Asymptotes of the Second Kind
Dobbs, David E.
International Journal of Mathematical Education in Science and Technology, v42 n2 p276-282 Mar 2011
This note uses the analytic notion of asymptotic functions to study when a function is asymptotic to a polynomial function. Along with associated existence and uniqueness results, this kind of asymptotic behaviour is related to the type of asymptote that was recently defined in a more geometric way. Applications are given to rational functions and conics. Prerequisites include the division algorithm for polynomials with coefficients in the field of real numbers and elementary facts about limits from calculus. This note could be used as enrichment material in courses ranging from Calculus to Real Analysis to Abstract Algebra.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A