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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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 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: Copyright Holders: Maintainers: Latest version: 1.2 (history) First publication date: Sep 10, 2010 1:38 pm +0000 Last revision to module: Dec 9, 2010 5:07 pm +0000

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## Version History

 Version: 1.2 Dec 9, 2010 5:07 pm +0000 by Changes: `links, summary added` Version: 1.1 Nov 23, 2010 5:44 pm +0000 by Changes: `initial publish`

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## 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, Connexions 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 [Connexions 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 Connexions 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." Connexions. 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," Connexions, 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. Connexions, 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. Connexions. 9 Dec. 2010 <http://cnx.org/content/m36129/1.2/>.