Teorema de Bolzano-Weierstrass: aplicações sobre funções reais contínuas em intervalos limitados e fechados
The Bolzano-Weierstrass theorem is one of the most important tools of mathematical analysis in establishing a relationship between the properties of limited sequences and the existence of convergent subsequences. The present work aims to demonstrate the Bolzano-Weierstrass theorem and to present two...
| Autor principal: | TRINDADE, Flávio Ruan Conceição da |
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| Grau: | Trabalho de Conclusão de Curso - Graduação |
| Publicado em: |
2024
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| Acesso em linha: |
https://bdm.ufpa.br/jspui/handle/prefix/6950 |
| Resumo: |
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The Bolzano-Weierstrass theorem is one of the most important tools of mathematical analysis in establishing a relationship between the properties of limited sequences and the existence of convergent subsequences. The present work aims to demonstrate the Bolzano-Weierstrass theorem and to present two of its applications on continuous real functions defined in limited and closed intervals. The application of the theorem in question reinforces its relevance in the study of continuous functions and provides theoretical reflection in the area.ons. |