# Divergent Series

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Related to Divergent Series: Convergent series

## divergent series

[də′vər·jənt ′sir·ēz]
(mathematics)
An infinite series whose sequence of partial sums does not converge.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## 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 ?
In their reading of multiple YA novels, including the Divergent series, they see figures of testing, with their do-or-die situations and often lethal consequences, as eerily comparable to educational and testing cultures in which young people are challenged to develop the requisite (and ever shifting) skills to navigate a world of increasing economic disparity and precarity.
So, 'The Divergent Series: Ascendant' is now going to be a TV movie?
for film The Divergent Series: Insurgent, in partnership with Samsung Electronics America.
THE Divergent series enters a new more dangerous world in this third installment.
International consumer book publisher HarperCollins Publishers revealed on Thursday that it has entered into a two-book deal with bestselling author Veronica Roth who wrote the Divergent series.
and Kristin Cast, Tris Prior in the Divergent series by Veronica Roth; Elsa and Anna in the film Frozen; Hazel Grace from John Green's The Fault in Our Stars; Nobel Peace Prize winner Malala Yousafzai; and comparisons between the new heroine of the 21st century to the oNew Womano figure of the late 19th century.
THE DIVERGENT SERIES: ALLEGIANT (12A) ANYONE who believes Americans don't grasp irony should watch this third film in the Divergent saga.
This third instalment in the Divergent series might as well have been called 'Detergent', because that's what it is: a product that appears under many brands but is really the same basic product, just different packaging.
The Divergent series (YA) by Veronica Roth, about Beatrice, who is put in a tribe that tests all she has ...
James' Grey, we were not able to fully offset the significant prior year media driven sales of John Green's Fault In Our Stars, Veronica Roth's Divergent series and Todd Burpo's Heaven Is For Real.
"The Divergent Series: Insurgent 3-D,'' Westboro, 12:05 p.m., 9:55; Berlin, 12:25 p.m., 3:25, 6:45, 9:35.
He wrote the first accessible books on calculus, created the theory of circular functions, and worked on elliptic intervals, the calculus of variations, graph theory, and divergent series. His work in number theory is essential.

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