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 ?
Tris, the hero from the Divergent series, fails to survive her own story, and she has plenty of company.
As with other modern dance performances, Finkelstein said, about half the audience tends to be other dancers, although she hopes to lure new viewers with a divergent series.
Upcoming Slate Includes Next Two Divergent Series Films, The Last Witch Hunter, Gods of Egypt and Now You See Me 2
4 Who stars as Tris Prior in the Divergent series of films?
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.
He has a role in next year's Fantastic Four reboot and will appear in the final instalment of the Divergent series as well as the much-anticipated boxing drama, Bleed For This.
He will help them shepherd an upcoming slate that includes The Hunger Games: Mockingjay -- Part 2, the most highly anticipated film of the fall, and other eagerly-anticipated films, including Now You See Me 2, Gods of Egypt, Deepwater Horizon, The Last Witch Hunter, the next two films in the Divergent series (Allegiant and Ascendant), John Wick 2, La La Land and the first Saban's Power Rangers live action film.
Bohrer has shepherded: Oscar-nominated director Damien Chazelle's eagerly-anticipated musical comedy drama LaLa Land, teaming Emma Stone and Ryan Gosling; the first two films in the Divergent series, which have grossed more than $550 million at the global box office, the most successful launch of a young adult franchise since The Hunger Games; as well as the surprise zombie hit Warm Bodies and the cult favorite Perks of Being a Wallflower.
Based on Veronica Roth's #1 New York Times best-selling novel Insurgent, The Divergent Series: Insurgent raises the stakes for Tris (Woodley) as she searches for answers and allies in this star-powered, action-packed second installment of the Divergent series.