diverge

American Heritage® Dictionary of the English Language, Fourth Edition

1. v. To go or extend in different directions from a common point; branch out.
2. v. To differ, as in opinion or manner.
3. v. To depart from a set course or norm; deviate. See Synonyms at swerve.
4. v. Mathematics To fail to approach a limit.
5. v. To cause (light rays, for example) to diverge; deflect.

Century Dictionary and Cyclopedia

1. To move or lie in different directions from a common point; branch off: opposed to converge.
2. In general, to become or be separated from another, or one from another; take different courses or directions: as, diverging trains of thought; lives that diverge one from the other.
3. To differ from a typical form; vary from a normal state or from the truth.
4. In mathematics, to become larger (in modulus) without limit: said of an infinite series when, on adding the terms, beginning with the first, the sum increases indefinitely toward infinity. A series may be divergent without diverging. See divergent series, under divergent.

Wiktionary

1. v. intransitive, literally To run apart; to separate; to tend into different directions.
2. v. intransitive, figuratively To become different; to run apart; to separate; to tend into different directions.
3. v. intransitive, literally To separate, to tend into a different direction (from another line or path).
4. v. intransitive, figuratively To become different, to separate (from another line or path).
5. v. intransitive, mathematics, of a sequence Not to converge: to have no limit, or no finite limit.

GNU Webster's 1913

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

WordNet 3.0

1. v. have no limits as a mathematical series
2. v. be at variance with; be out of line with
3. v. move or draw apart
4. v. extend in a different direction