con·verge

[kuhn-vurj] verb, con·verged, con·verg·ing.
verb (used without object)
1.
to tend to meet in a point or line; incline toward each other, as lines that are not parallel.
2.
to tend to a common result, conclusion, etc.
3.
Mathematics.
a.
(of a sequence) to have values eventually arbitrarily close to some number; to have a finite limit.
b.
(of an infinite series) to have a finite sum; to have a sequence of partial sums that converges.
c.
(of an improper integral) to have a finite value.
d.
(of a net) to be residually in every neighborhood of some point.
verb (used with object)
4.
to cause to converge.

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

non·con·verg·ing, adjective
re·con·verge, verb (used without object), re·con·verged, re·con·verg·ing.
un·con·verged, adjective
un·con·verg·ing, adjective


1. approach, focus, come together.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2013.
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00:10
Converge is an SAT word you need to know.
So is scrutinize. Does it mean:
characterized by assumption of dignity or importance; making an exaggerated outward show
to examine in detail with careful or critical attention
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World English Dictionary
converge (kənˈvɜːdʒ) [Click for IPA pronunciation guide]
 
vb
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
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Etymonline
Word Origin & History

converge
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
The circuitry of our brains does not all converge on one point where the
  essence of ourselves can sit and ruminate.
Over the next several years you will see the two converge.
Rogue waves seem to occur in deep water or where a number of physical factors
  such as strong winds and fast currents converge.
At the police station the roads of the tramp and the tough again converge.
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