1(of lines) tend to meet at a point:a pair of lines of longitude are parallel at the equator but converge toward the poles
come together from different directions so as eventually to meet:convoys from America and the UK traversed thousands of miles to converge in the Atlantic
(converge on/upon) come from different directions and meet at (a place):half a million sports fans will converge on the capital for the London Marathon
(of a number of things) gradually change so as to become similar or develop something in common:the aims of the two developments can and should converge
2 Mathematics (of a series) approximate in the sum of its terms towards a definite limit:the powers of E therefore converge very slowly indeed