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About: Horizontal Asymptotes

Module by: Pradnya Bhawalkar, Kim Johnston. E-mail the authors

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Name: Horizontal Asymptotes
ID: m13606
Language: English (en)
Summary: Finding horizontal asymptotes of rational functions
Subject: Mathematics and Statistics
Keywords: Asymptote, Horizonatl Asymptote, Horizontal, Rational Function
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 2.0

Authors: Pradnya Bhawalkar (pradnyab89@gmail.com), Kim Johnston (kim.johnston@fortbend.k12.tx.us)
Copyright Holders: Pradnya Bhawalkar (pradnyab89@gmail.com), Kim Johnston (kim.johnston@fortbend.k12.tx.us)
Maintainers: Pradnya Bhawalkar (pradnyab89@gmail.com)

Latest version: 1.8 (history)
First publication date: Mar 27, 2006 4:50 pm -0600
Last revision to module: Apr 8, 2007 5:41 pm -0500

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XML: m13606_1.8.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more.

Version History

Version: 1.8 Apr 8, 2007 5:41 pm -0500 by Pradnya Bhawalkar
Changes:
 Fixed solution to problem 8. Fixed to y=0, was none earlier

Version: 1.7 Apr 4, 2007 10:50 pm -0500 by Pradnya Bhawalkar
Changes:
 Fixed the description of how to find the horizontal asymptote, which earlier stated the same thing twice

Version: 1.6 Apr 4, 2007 10:46 pm -0500 by Pradnya Bhawalkar
Changes:
 Corrected instructions on how to calculate the horizontal asymptote, otherwise the 1st and last statement said the same thing...

Version: 1.5 Apr 4, 2007 10:41 pm -0500 by Pradnya Bhawalkar
Changes:
 Corrected instructions on how to calculate the horizontal asymptote, otherwise the 1st and last statement said the same thing...

Version: 1.4 May 6, 2006 9:33 pm -0500 by Pradnya Bhawalkar
Changes:
Fixed solution to #9

Version: 1.3 May 1, 2006 6:51 pm -0500 by Pradnya Bhawalkar
Changes:
 added term horizontal asymptotes, added space in explanation

Version: 1.2 May 1, 2006 9:03 am -0500 by Pradnya Bhawalkar
Changes:
added 2 explanations for the 1st two questions

Version: 1.1 May 1, 2006 6:03 am -0500 by Pradnya Bhawalkar
Changes:
Original

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The following citation styles comply with the attribution requirements for the license (CC-BY 2.0) of this work:

American Chemical Society (ACS) Style Guide:

Bhawalkar, P.; Johnston, K. Horizontal Asymptotes, OpenStax_CNX Web site. http://cnx.org/content/m13606/1.8/, Apr 8, 2007.

American Medical Assocation (AMA) Manual of Style:

Bhawalkar P, Johnston K. Horizontal Asymptotes [OpenStax_CNX Web site]. April 8, 2007. Available at: http://cnx.org/content/m13606/1.8/.

American Psychological Assocation (APA) Publication Manual:

Bhawalkar, P., & Johnston, K. (2007, April 8). Horizontal Asymptotes. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m13606/1.8/

Chicago Manual of Style (Bibliography):

Bhawalkar, Pradnya, and Kim Johnston. "Horizontal Asymptotes." OpenStax_CNX. April 8, 2007. http://cnx.org/content/m13606/1.8/.

Chicago Manual of Style (Note):

Pradnya Bhawalkar and Kim Johnston, "Horizontal Asymptotes," OpenStax_CNX, April 8, 2007, http://cnx.org/content/m13606/1.8/.

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

Bhawalkar, P., & Johnston, K. 2007. Horizontal Asymptotes. OpenStax_CNX, April 8, 2007. http://cnx.org/content/m13606/1.8/.

Modern Languages Association (MLA) Style Manual:

Bhawalkar, Pradnya, and Kim Johnston. Horizontal Asymptotes. OpenStax_CNX. 8 Apr. 2007 <http://cnx.org/content/m13606/1.8/>.