Pronunciation: /dɪˈvɜr.dʒənt/ Explain
Most authors divide
into two classes:
and divergent. A series is convergent if the sum of the series approaches a finite
A series is divergent
if it is not
Other authors divide infinite series into three classes: convergent, divergent and
oscillating. An infinite series is convergent if it approaches a finite value,
divergent if it approaches an infinite
oscillating if it does not approach any value.
An object that is divergent is said to diverge.
An example of an infinite series that diverges is the
- McAdams, David E.. All Math Words Dictionary, divergent. 2nd Classroom edition 20150108-4799968. pg 64. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Hardy, G. H.. Divergent Series. pg 1. www.archive.org. Oxford. 1949. Last Accessed 7/3/2018. http://www.archive.org/stream/divergentseries033523mbp#page/n22/mode/1up. Buy the book
- Osgood, William F.. Introduction to Infinite Series. 3rd edition. pg 2. archive.org. Harvard University. 1910. Last Accessed 7/3/2018. http://www.archive.org/stream/introductiontoin00osgo#page/2/mode/1up/search/divergent. Buy the book
- Bromwich, T. J. I'a.. An Introduction to the Theory of Infinite Series. pg 2. www.archive.org. Macmillan and Company, Limited. 1908. Last Accessed 7/3/2018. http://www.archive.org/stream/introductiontoth00bromuoft#page/2/mode/1up/search/divergent. Buy the book
Cite this article as:
McAdams, David E. Divergent. 3/11/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/d/divergent.html.
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
7/4/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
1/24/2010: Rewrote article. (McAdams, David E.)
11/22/2009: Added definition of to diverge. (McAdams, David E.)
12/13/2008: Initial version. (McAdams, David E.)