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

- series of f {\displaystyle f} converges uniformly, but not necessarily absolutely, to f {\displaystyle f} . A function ƒ has an absolutely converging...
- 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...
- If ℓ > 1 {\displaystyle \ell >1} , the series diverges. If L < 1 {\displaystyle L<1} then the series converges absolutely. If ℓ ≤ 1 ≤ L {\displaystyle...
- Absolutely converging series turn into absolutely converging series, conditionally converging series turn into conditionally converging series (with the...
- mathematical field of analysis, uniform convergence is a mode of convergence of functions stronger than pointwise convergence. A sequence of functions ( f n )...
- called cubic convergence. However, it is not necessary that q {\displaystyle q} be an integer. For example, the secant method, when converging to a regular...
- 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...
- sequences are exactly the converging sequences with respect to that topology. In particular, there is no metric of almost sure convergence. Consider a sequence...
- partial sums of a power series are polynomials, the partial sums of the Taylor series of an analytic function are a sequence of converging polynomial approximations...