To move or extend in different directions from a common point. The two roads diverge at the edge of the forest.
To differ in opinion, character, form, etc. Their views on the project began to diverge after the initial meeting.
To deviate from a set course or standard. The conversation began to diverge from the main topic.
Of a mathematical series or sequence, to fail to approach a limit; to lack convergence. Because the sequence diverges, its terms grow without bound.