divergent series

Webster's Dictionary (GCIDE)

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]