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Real Numbers, Sequences, and Limits

In: Advanced Calculus of a Single Variable

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  • Tunc Geveci

    (San Diego State University, Department of Mathematics and Statistics)

Abstract

In this chapter we discuss the convergence of sequences, the completeness of real numbers in terms of the convergence of Cauchy sequences and the existence of the least upper bound of a set that is bounded above. We also discuss infinite limits.

Suggested Citation

  • Tunc Geveci, 2016. "Real Numbers, Sequences, and Limits," Springer Books, in: Advanced Calculus of a Single Variable, chapter 0, pages 1-59, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-27807-0_1
    DOI: 10.1007/978-3-319-27807-0_1
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