The Collaborative International Dictionary of English v.0.48:

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.
      [1913 Webster]

   2. To differ from a typical form; to vary from a normal
      condition; to dissent from a creed or position generally
      held or taken.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Diverging \Di*ver"ging\, a.
   Tending in different directions from a common center;
   spreading apart; divergent.
   [1913 Webster]

   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.
      [1913 Webster]

WordNet (r) 3.0 (2006):

diverging
    adj 1: tending to move apart in different directions [syn:
           divergent, diverging] [ant: convergent]