Webster's English Dictionary

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converge

con.verge \k*n-'v*rj\ vb [ML convergere, fr. L com- + vergere to bend, 
   incline] 1: to tend or move toward one point or one another : come together 
   : (MMEET 2: to come together and unite in a common interest or focus  3: to 
   approach a limit as the number of terms increases without limit  : to cause 
   to converge