Real Numbers Chapter Overview

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Questions and Answers

What is the main purpose of this chapter?

  • To define real numbers out of the blue
  • To construct real numbers from rational numbers (correct)
  • To introduce rational Cauchy sequences
  • To show that real numbers can be defined as limits of certain sequences

What will be used to define real numbers?

  • Rational Cauchy sequences (correct)
  • Rational sequences
  • Limits of certain sequences
  • Equivalence classes of sequences

What will be shown at the end of this chapter?

  • That rational Cauchy sequences form a ring
  • That rational Cauchy sequences form an ideal (correct)
  • That rational Cauchy sequences tend to 0
  • That real numbers can be defined as limits

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