Indeterminações
This work is about the seven mathematical indeterminate forms. It presents a review of many Calculus textbooks and shows that all of them treat the subject of indeterminate forms in similar way, by using the L’Hôspital’s rule. This study aims to provide a more general explanation of indeterminate fo...
| Autor principal: | Desanti, Diego Mathias |
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| Formato: | Dissertação |
| Idioma: | Português |
| Publicado em: |
Universidade Tecnológica Federal do Paraná
2017
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| Assuntos: | |
| Acesso em linha: |
http://repositorio.utfpr.edu.br/jspui/handle/1/2758 |
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| Resumo: |
This work is about the seven mathematical indeterminate forms. It presents a review of many Calculus textbooks and shows that all of them treat the subject of indeterminate forms in similar way, by using the L’Hôspital’s rule. This study aims to provide a more general explanation of indeterminate forms to Math students, teachers, and enthusiasts. For each indeterminate form, it shows examples of limits that are equal to zero, infinite, a non-zero constant, or does not exist. It also discusses how the notion of infinity solved paradoxes in Mathematics and Philosophy throughout the history, such as Hilbert Hotel and Zeno paradoxes. |
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