Definition of Converging series. Meaning of Converging series. Synonyms of Converging series

Here you will find one or more explanations in English for the word Converging series. Also in the bottom left of the page several parts of wikipedia pages related to the word Converging series and, of course, Converging series synonyms and on the right images related to the word Converging series.

Definition of Converging series

Converging series
Converging Con*ver"ging, a. Tending to one point; approaching each other; convergent; as, converging lines. --Whewell. Converging rays(Opt.), rays of light, which, proceeding from different points of an object, tend toward a single point. Converging series (Math.), a series in which if an indefinitely great number of terms be taken, their sum will become indefinitely near in value to a fixed quantity, which is called the sum of the series; -- opposed to a diverging series.

Meaning of Converging series from wikipedia

- Fourier series of f{\displaystyle f} converges uniformly, but not necessarily absolutely, to f{\displaystyle f}. A function ƒ has an absolutely converging Fourier...
- mathematics, a series or integral is said to be conditionally convergent if it converges, but it does not converge absolutely. More precisely, a series of real...
- constant was named after Eugène Charles Catalan, who found quickly-converging series for its calculation and published a memoir on it in 1865. In low-dimensional...
- then the series is absolutely convergent. If r > 1, then the series diverges. If r = 1, the ratio test is inconclusive, and the series may converge or diverge...
- example, the secant method, when converging to a regular, simple root, has an order of φ ≈ 1.618.[citation needed] Convergence with order q=1{\displaystyle...
- analysis, uniform convergence is a mode of convergence of functions stronger than pointwise convergence, in the sense that the convergence is uniform[disambiguation...
- the radius of convergence of a power series is the radius of the largest disk at the center of the series in which the series converges. It is either...
- Look up convergence, converges, or converging in Wiktionary, the free dictionary. Convergence may refer to: Convergence (book series), edited by Ruth Nanda...
- ****her from the origin, not converging to the origin and not converging as a series. After knowing that a series converges, there are some applications...
- S_{n}=a_{1}+a_{2}+\cdots +a_{n}=\sum _{k=1}^{n}a_{k}.} A series is convergent (or converges) if and only if the sequence (S1,S2,S3,…){\displaystyle (S_{1}...