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Cap01Ex10

a guest Apr 23rd, 2019 64 Never
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  1. \documentclass[12pt]{article}
  2. \usepackage{amsmath}
  3. \usepackage{graphicx}
  4. \usepackage{hyperref}
  5. \usepackage[latin1]{inputenc}
  6.  
  7.  
  8. \begin{document}
  9.  
  10. Cap\'{i}tulo 01
  11.  
  12. \medskip Exerc\'{i}cio 10
  13.  
  14. \medskip Note que o erro est\'{a} logo na volta da primeira implica\c{c}\~{a}o. Abramos-a para ver, de fato, quais s\~{a}o seus passos.
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  16. \newline (i)  $x = 1 \iff \text{ (ii) }  x -1 = 0 \iff \text{ (iii) } (x-1) \cdot (x-1) = 0 \iff \text{ (iv) } x^{2}- 2x + 1 = 0$.
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  19. \medskip Levando em considera\c{c}\~{a}o o sentido de volta, partimos da premissa de que $x = \pm 1$. Tal premissa impossibilita irmos da equa\c{c}\^{a}o (iii) para a (ii), pois estar\'{i}amos realizando uma divis\~{a}o por zero no caso de $x = 1$.
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  21.  
  22. \end{document}
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