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Über die sogenannte Regel von de l’Hospital im Mathematikunterricht
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2011-12-01
https://doi.org/10.5485/TMCS.2011.0263
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Copyright (c) 2011 Sándor Kovács
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Sándor. (2011). Über die sogenannte Regel von de l’Hospital im Mathematikunterricht. Teaching Mathematics and Computer Science, 9(2), 193-208. https://doi.org/10.5485/TMCS.2011.0263
Abstract
The aim of this paper is to provide an insight into the problems of the socalled indeterminate expressions, in order to make the students understand them better. The paper deals with the conditions and the proof of the theorem about the limit of a quotient of certain functions of one variable, usually named after l'Hospital. The question is of some interest, since the formulation of the result in several textbooks often appears redundant and the proof is more complex than necessary. First, the historical background is briefly sketched. Second, the theorem is formulated and justified, where three different, simple proof techniques are presented. Finally, possible applications are suggested for teaching, which are usually not treated in this problem area.