Definition of Diverging series. Meaning of Diverging series. Synonyms of Diverging series

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Definition of Diverging series

Diverging series
Diverging Di*ver"ging, a. Tending in different directions from a common center; spreading apart; divergent. Diverging series (Math.), a series whose terms are larger as the series is extended; a series the sum of whose terms does not approach a finite limit when the series is extended indefinitely; -- opposed to a converging series.

Meaning of Diverging series from wikipedia

- novel by Tony Ballantyne Diverge (film), a 2016 American sci-fi film Divergence (film), a 2005 film from Hong Kong Diverged (The Walking Dead), an episode...
- "Betty Gilpin shines in this otherwise disappointingly didactic series, where the diverging story stands never cohere into a satisfying whole." Metacritic...
- \end{aligned}}} by the integral test for convergence. This shows that the series on the left diverges. The following proof is modified from James A. Clarkson. Define...
- b. Any series that is not convergent is said to be divergent or to diverge. The reciprocals of the positive integers produce a divergent series (harmonic...
- However, if the original series diverges, then the grouped series do not necessarily diverge, as in this example of Grandi's series above. However, divergence...
- structure, and tone diverged considerably from the original British series. These seasons were included on several critics' year-end top TV series lists, winning...
- \implies } for all diverging series of real or complex terms ∑ i = 1 ∞ a i {\textstyle \sum _{i=1}^{\infty }a_{i}\,} , the series ∑ i = 1 ∞ a p ( i )...
- series converges, the individual terms of the series must approach zero. Thus any series in which the individual terms do not approach zero diverges....
- Sega and Sonic Team leadership entered flux while they experimented with diverging from the Sonic formula. Sega Studios USA's first post-Heroes project was...
- arctan. For these functions the Taylor series do not converge if x is far from b. That is, the Taylor series diverges at x if the distance between x and b...