Diverge \Di*verge"\, v. i. [imp. & p. p. Diverged; p. pr. & vb. n. Diverging.]

[L. di- = dis- + vergere to bend, incline. See Verge.]

1. To extend from a common point in different directions; to tend from one point and recede from each other; to tend to spread apart; to turn aside or deviate (as from a given direction); -- opposed to converge; as, rays of light diverge as they proceed from the sun.

2. To differ from a typical form; to vary from a normal condition; to dissent from a creed or position generally held or taken.

Source: Webster's Revised Unabridged Dictionary (1913)
 

Diverging \Di*ver"ging\, a. Tending in different directions from a common center; spreading apart; divergent.

Diverging series (Math.), a series whose terms are larger as the series is extended; a series the sum of whose terms does not approach a finite limit when the series is extended indefinitely; -- opposed to a converging series.

Source: Webster's Revised Unabridged Dictionary (1913)