a. Tending to one point; approaching each other; convergent; as, converging lines. Whewell. [ 1913 Webster ]

Converging rays(Opt.), rays of light, which, proceeding from different points of an object, tend toward a single point. --
Converging series (Math.), a series in which if an indefinitely great number of terms be taken, their sum will become indefinitely near in value to a fixed quantity, which is called the sum of the series; -- opposed to a diverging series. [ 1913 Webster ]

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 ]

adv. In a diverging manner. [ 1913 Webster ]