Visualizing and understanding l'hopital's rule
Autor: | Sheldon P. Gordon |
---|---|
Rok vydání: | 2017 |
Předmět: |
L'Hôpital's rule
Computer science Applied Mathematics 010102 general mathematics 05 social sciences 050301 education Function (mathematics) 01 natural sciences Dynamic software Education Visualization symbols.namesake Mathematics (miscellaneous) Computer software Calculus Taylor series symbols 0101 mathematics 0503 education Algorithm |
Zdroj: | International Journal of Mathematical Education in Science and Technology. 48:1096-1105 |
ISSN: | 1464-5211 0020-739X |
DOI: | 10.1080/0020739x.2017.1315187 |
Popis: | This article uses dynamic software in Excel to demonstrate several ways in which graphical and numerical approaches can be introduced both to enhance student understanding of l'Hopital's Rule and to explain why the Rule actually works to give the ‘right’ answers. One of the approaches used is to visualize what is happening by examining the limits with both l'Hopital's Rule and the associated Taylor approximation to the function. The dynamic software allows students to experiment with the ideas. |
Databáze: | OpenAIRE |
Externí odkaz: |