characterized by convergence; tending to come together; merging.

1720–30; < Late Latin convergent- (stem of convergēns, present participle of convergere). See converge, -ent

convergently, adverb
nonconvergent, adjective
unconvergent, adjective Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
convergent (kənˈvɜːdʒənt)
1.  (of two or more lines, paths, etc) moving towards or meeting at some common point
2.  (of forces, ideas, etc) tending towards the same result; merging
3.  maths (of an infinite series) having a finite limit

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Example sentences
One question about convergent evolution is the mechanism by which it happens.
At a convergent boundary plates crash into each other.
It may also be the first genetic example of what researchers call convergent
  evolution in humans.
We met as colleagues and had career tracks that were both divergent and
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