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Questions and Answers
What is the main purpose of this chapter?
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?
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?
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
