Convergent

Pronunciation: /kənˈvɜrdʒ ənt/ ?

Two mathematical objects are convergent if they draw close to each other.^[1] For example, a function is a convergent function if the value of the function draws close to a numeric value as the argument tends towards positive or negative infinity.^[3]

An infinite series is a convergent series if the sum of the series draws close to a particular value. A sequence is a convergent sequence if the limit of the sequence is a particular value.^[4]

References

1. convergent. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=convergent&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
2. convergence. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=convergent&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
3. Kuratowski, Kazimierz. Introduction of Calculus, U.S.A. edition, pp 118-122. Musielak, Julian. Addision-Wesley Publishing Company, Inc., 1962. (Accessed: 2010-01-20). http://www.archive.org/stream/introductiontoca033502mbp#page/n123/mode/1up/search/convergence.
4. Fine, Henry B.. The Number-System of Algebra Treated Theoretically and Historically, 2nd edition with corrections, pp 54-57. D. C. Heath & Co. Publishers, 1903. (Accessed: 2010-01-20). http://www.archive.org/stream/numbersystemofal00fine#page/54/mode/1up/search/infinite+convergent.

Cite this article as:

Convergent. 2010-01-20. All Math Words Encyclopedia. Life is a Story Problem.org. http://www.allmathwords.org/en/c/convergent.html.

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Revision History

2010-01-05: Added "References" (McAdams, David.)
2008-07-07: Corrected link errors, citation (McAdams, David.)
2008-04-29: Initial version (McAdams, David.)