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About: The Limit of a Sequence of Numbers: Subsequences and Cluster Points

Module by: Lawrence Baggett. E-mail the author

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Metadata

Name: The Limit of a Sequence of Numbers: Subsequences and Cluster Points
ID: m36129
Language: English (en)
Summary: An introduction of the convergence of subsequences, the bolzano-weierstrass theorem, cluster sets, suprema, infima, and the catchy criterion. Multiple exercises and proofs are included.
Subject: Mathematics and Statistics
Keywords: Bolzano-Weierstrass, Cauchy Criterion, uniqueness of limits
License: Creative Commons Attribution License CC-BY 3.0

Authors: Lawrence Baggett (lawrence.baggett@colorado.edu)
Copyright Holders: Lawrence Baggett (lawrence.baggett@colorado.edu)
Maintainers: Lawrence Baggett (lawrence.baggett@colorado.edu), Daniel Williamson (dcwill@cnx.org), Jared Adler (jca2@rice.edu)

Latest version: 1.2 (history)
First publication date: Sep 10, 2010 1:38 pm -0500
Last revision to module: Dec 9, 2010 5:07 pm -0600

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Version History

Version: 1.2 Dec 9, 2010 5:07 pm -0600 by Jared Adler
Changes:
links, summary added

Version: 1.1 Nov 23, 2010 5:44 pm -0600 by Jared Adler
Changes:
initial publish

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  • the authors' names: Lawrence Baggett
  • the title of the work: The Limit of a Sequence of Numbers: Subsequences and Cluster Points
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See the citation section below for examples you can copy.

How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

American Chemical Society (ACS) Style Guide:

Baggett, L. The Limit of a Sequence of Numbers: Subsequences and Cluster Points, OpenStax_CNX Web site. http://cnx.org/content/m36129/1.2/, Dec 9, 2010.

American Medical Assocation (AMA) Manual of Style:

Baggett L. The Limit of a Sequence of Numbers: Subsequences and Cluster Points [OpenStax_CNX Web site]. December 9, 2010. Available at: http://cnx.org/content/m36129/1.2/.

American Psychological Assocation (APA) Publication Manual:

Baggett, L. (2010, December 9). The Limit of a Sequence of Numbers: Subsequences and Cluster Points. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m36129/1.2/

Chicago Manual of Style (Bibliography):

Baggett, Lawrence. "The Limit of a Sequence of Numbers: Subsequences and Cluster Points." OpenStax_CNX. December 9, 2010. http://cnx.org/content/m36129/1.2/.

Chicago Manual of Style (Note):

Lawrence Baggett, "The Limit of a Sequence of Numbers: Subsequences and Cluster Points," OpenStax_CNX, December 9, 2010, http://cnx.org/content/m36129/1.2/.

Chicago Manual of Style (Reference, in Author-Date style):

Baggett, L. 2010. The Limit of a Sequence of Numbers: Subsequences and Cluster Points. OpenStax_CNX, December 9, 2010. http://cnx.org/content/m36129/1.2/.

Modern Languages Association (MLA) Style Manual:

Baggett, Lawrence. The Limit of a Sequence of Numbers: Subsequences and Cluster Points. OpenStax_CNX. 9 Dec. 2010 <http://cnx.org/content/m36129/1.2/>.