Divergent Series

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Related to Divergent Series: Convergent series

divergent series

[də′vər·jənt ′sir·ēz]
An infinite series whose sequence of partial sums does not converge.

Divergent Series


a series in which the sequence of partial sums does not have a finite limit. If the general term of the series does not tend to zero, the series diverges, for example, 1 - 1 + 1 - 1 + … + (– 1)n-1. The harmonic series 1 + 1/2 + … + 1/2 + … is an example of a divergent series whose general term tends to zero. There exist numerous classes of divergent series that converge in some generalized sense, since to each such divergent series some “generalized sum” may be assigned that possesses the most important properties of the sum of a convergent series.

References in periodicals archive ?
Gritty dialogue and realistic scenes of violence will have senior high school students who enjoy The Hunger Games and Divergent series awaiting the next book in this series.
Opens Thursday The third in the Divergent series sees heroine Tris (Shailene Woodley) and lover Four (Theo James) head beyond the fence where they have to deal with the Bureau for Genetic Welfare.
Just as The Hobbit didn't require three films and the Twilight series was pushing it with five, this second movie in the Divergent series feels as if it's treading water.
THE latest movie in the gripping action adventure Divergent series, Insurgent, opens in cinemas on Thursday and readers can win an exclusive prize to mark the release.
com/why-divergent-series-ascendant-being-made-tv-movie-low-box-office-numbers-may-explain-2393606) The Divergent Series : Allegiant"
The third instalment of the blockbuster Divergent series franchise, ALLEGIANT takes Tris (Shailene Woodley) and Four (Theo James) into a new world, far more dangerous than ever before.
This series is perfect for fans of The Maze Runner and Divergent series.
Hollywood action star Liam Neeson and British actor Theo James of the Divergent series had already said they will be pulling for Pacquiao to beat Mayweather.
Just as e Hobbit didn't require three lms and The Twilight series was pushing it with ve, this second movie in the Divergent series feels as if it's treading water.
com/insurgent-hair-stylist-yolanda-toussieng-teases-edgier-harder-looks-allegiant-2316326) Divergent Series " films are coming to a close and Lionsgate, the studio tasked with creating the action-packet sci-fi movies, is taking a different approach the fourth time around.
the third film in The Divergent Series, Allegiant which is released on Thursday.
This week's new releases INSURGENT 12,119mins The latest instalment in the Divergent Series film franchise, Insurgent is a smart and stylish sci-fi adventure.