Absolute convergence - sequences and series, Mathematics

Absolute Convergence

While we first talked about series convergence we in brief mentioned a stronger type of convergence but did not do anything with it as we didn't have any tools at our disposal which we could make use of to work problems involving it.  Now we have some of those tools thus it's now time to talk about absolute convergence in detail.

1st, let's go back over the definition of absolute convergence.

A series ∑an is termed as absolutely convergent if ∑|an| is convergent. If ∑an is convergent and ∑|an| is divergent this known as the series conditionally convergent. We as well have the following fact about absolute convergence.

 

Posted Date: 4/12/2013 4:08:07 AM | Location : United States







Related Discussions:- Absolute convergence - sequences and series, Assignment Help, Ask Question on Absolute convergence - sequences and series, Get Answer, Expert's Help, Absolute convergence - sequences and series Discussions

Write discussion on Absolute convergence - sequences and series
Your posts are moderated
Related Questions
Marketing management,Analysis,planning and implementation

1) let R be the triangle with vertices (0,0), (pi, pi) and (pi, -pi). using the change of variables formula u = x-y and v = x+y , compute the double integral (cos(x-y)sin(x+y) dA a

The distance from the earth to the moon is approximately 240,000 miles. What is this distance expressed in scientific notation? To convert to scienti?c notation, place a decima

The Laplace method Laplace method employs all the information by assigning equal probabilities to the possible payoffs for every action and then selecting such alternative whic



statement of gauss thm

Determine or find out if the following series converges or diverges.  If it converges find out its value. Solution We first require the partial sums for this series.


Fundamental Theorem of Calculus, Part I As noted through the title above it is only the first part to the Fundamental Theorem of Calculus. The first part of this theorem us