Date: Oct 4, 2017 3:19 PM
Author: Markus Klyver
Subject: Re: The objects that Newton played with were called infinite series<br> but had ZERO to do with infinity. The name infinite series is a misnomer.

Den tisdag 3 oktober 2017 kl. 23:30:02 UTC+2 skrev John Gabriel:
> On Tuesday, 3 October 2017 17:15:59 UTC-4, wrote:
> > Can you make an example, where two series cannot
> > be multiplied formally, independent of their
> > convergence?

> Birdbrains. It makes no sense to multiply any two series unless they both converge. The idea is that you are multiplying the LIMITs by multiplying the partial sums.

You can, but it's no guarantee the product will converge or to what it will converge to. You can multiply two divergent series and get an convergent one, for example.