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From: Webster's Revised Unabridged Dictionary (1913)

 Di·ver·gent a.
 1. Receding farther and farther from each other, as lines radiating from one point; deviating gradually from a given direction; -- opposed to convergent.
 2. Optics Causing divergence of rays; as, a divergent lens.
 3. Fig.: Disagreeing from something given; differing; as, a divergent statement.
 Divergent series. Math. See Diverging series, under Diverging.