Literaturnachweis - Detailanzeige
Autor/in | Gkioulekas, Eleftherios |
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Titel | Zero-Bounded Limits as a Special Case of the Squeeze Theorem for Evaluating Single-Variable and Multivariable Limits |
Quelle | In: International Journal of Mathematical Education in Science and Technology, 44 (2013) 4, S.595-609 (15 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0020-739X |
DOI | 10.1080/0020739X.2012.742148 |
Schlagwörter | Calculus; Mathematics Instruction; Mathematical Applications; Mathematical Logic; Validity; Theories |
Abstract | Many limits, typically taught as examples of applying the "squeeze" theorem, can be evaluated more easily using the proposed zero-bounded limit theorem. The theorem applies to functions defined as a product of a factor going to zero and a factor that remains bounded in some neighborhood of the limit. This technique is immensely useful for both single-variable limits and multidimensional limits. A comprehensive treatment of multidimensional limits and continuity is also outlined. (As Provided). |
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Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |