Absolute convergence - sequences and series, Mathematics

Assignment Help:

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.

 


Related Discussions:- Absolute convergence - sequences and series

Precalculus, Find the standard form of the equation of the parabola with a ...

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -7).

Definition of natural exponential function, Definition of Natural exponenti...

Definition of Natural exponential function:   The natural exponential function is f( x ) = e x   where, e= 2.71828182845905........ . Hence, since e > 1 we also know that e x

Shares and dividends, to use newspaperto study and report on shares and div...

to use newspaperto study and report on shares and dividend

Probability, I have a question that hurts my head to work out. It is really...

I have a question that hurts my head to work out. It is really confusing for me. It sais " By the start of the 21st century, only 1 in 6 babies in America was born with blue eyes.

Probablity, probability as that of flipping a coin eight times and getting ...

probability as that of flipping a coin eight times and getting all the times the same side of the coin.)

Arc length with parametric equations, Arc Length with Parametric Equations ...

Arc Length with Parametric Equations In the earlier sections we have looked at a couple of Calculus I topics in terms of parametric equations.  We now require to look at a para

Multiplyig, why is multiplying inportent in our lifes

why is multiplying inportent in our lifes

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd