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From The Collaborative International Dictionary of English v.0.48:
Divergent \Di*ver"gent\, a. [Cf. F. divergent. See Diverge.] 1. Receding farther and farther from each other, as lines radiating from one point; deviating gradually from a given direction; -- opposed to convergent. [1913 Webster] 2. (Optics) Causing divergence of rays; as, a divergent lens. [1913 Webster] 3. Fig.: Disagreeing from something given; differing; as, a divergent statement. [1913 Webster] Divergent series. (Math.) See Diverging series, under Diverging. [1913 Webster]