verb (used without object), converged, converging.
to tend to meet in a point or line; incline toward each other, as lines that are not parallel.
to tend to a common result, conclusion, etc.
(of a sequence) to have values eventually arbitrarily close to some number; to have a finite limit.
(of an infinite series) to have a finite sum; to have a sequence of partial sums that converges.
(of an improper integral) to have a finite value.
(of a net) to be residually in every neighborhood of some point.
verb (used with object), converged, converging.
to cause to converge.

1685–95; < Late Latin convergere to incline together. See con-, verge2

nonconverging, adjective
reconverge, verb (used without object), reconverged, reconverging.
unconverged, adjective
unconverging, adjective

1. approach, focus, come together. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
converge (kənˈvɜːdʒ)
1.  to move or cause to move towards the same point: crowds converged on the city
2.  to meet or cause to meet; join
3.  (intr) (of opinions, effects, etc) to tend towards a common conclusion or result
4.  (intr) maths (of an infinite series or sequence) to approach a finite limit as the number of terms increases
5.  (intr) (of animals and plants during evolutionary development) to undergo convergence
[C17: from Late Latin convergere, from Latin com- together + vergere to incline]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

1691, from L.L. convergere "to incline together" from com- "together" + vergere "to bend" (see verge (v.)). Related: convergence (1713); convergent (mid-18c.); converging (1776). Convergent evolution was in use among biologists by 1890.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
converge   (kən-vûrj')  Pronunciation Key 
  1. To tend toward or approach an intersecting point.

  2. In calculus, to approach a limit.

The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Example sentences
Multiple trends are converging to bring big-city values to smaller communities.
Students need to learn how to address converging dialogues.
Given the risk of converging on the wrong solutions yet again, it would be
  better to let a variety of regulatory models flourish.
More crowds, however, are converging on the main square.
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