Pronunciation: /kənˈvɜr.dʒənt/ Explain

Two mathematical objects are convergent if they draw close to each other. For example, a function is a convergent function if the value of the function draws close to a particular line as the value of the independent variable tends towards positive or negative infinity. When a mathematical object A approaches a mathematical object B, say "A converges to B."

An infinite series is a convergent series if the series draws close to a particular value. A sequence is a convergent sequence if the limit of the sequence is a particular value.


  1. McAdams, David E.. All Math Words Dictionary, convergent. 2nd Classroom edition 20150108-4799968. pg 46. Life is a Story Problem LLC. January 8, 2015. Buy the book

Cite this article as:

McAdams, David E. Convergent. 4/16/2019. All Math Words Encyclopedia. Life is a Story Problem LLC.

Revision History

4/16/2019: Updated equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (McAdams, David E.)
1/5/2010: Added "References". (McAdams, David E.)
7/7/2008: Corrected link errors, citation. (McAdams, David E.)
4/29/2008: Initial version. (McAdams, David E.)

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