con·verge / kənˈvərj/ • v. [intr.] (of several people or things) come together from different directions so as eventually to meet: fig. two separate people whose lives converge briefly from time to time. ∎  (converge on/upon) come from different directions and meet at (a place): sports fans will converge on the capital. ∎  (of a number of things) gradually change so as to become similar or develop something in common: two cultures converged as the French settled Vermont. ∎  (of lines) tend to meet at a point. ∎  Math. (of a series) approximate in the sum of its terms toward a definite limit.

converge XVII. — late L. convergere; see CON- and VERGE 2.
Hence convergent XVIII.