Real Numbers and Cauchy Sequences of Rationals - Math Foundations 111

Real Numbers and Cauchy Sequences of Rationals - Math Foundations 111

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Intro to "real numbers" as Cauchy sequences of rationals

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1 of 7

Intro to "real numbers" as Cauchy sequences of rationals

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Real Numbers and Cauchy Sequences of Rationals - Math Foundations 111

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  1. 1 Intro to "real numbers" as Cauchy sequences of rationals
  2. 2 "Sequences with limits are Cauchy sequence"
  3. 3 The usual proof of the previous "theorem"
  4. 4 Cauchy sequences ought to have a limit!
  5. 5 Cauchy sequences of rational numbers
  6. 6 Sequences in the same direction
  7. 7 Equivalence class of Cauchy sequences

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