Date: Oct 6, 2017 7:27 PM
Author: Karl-Olav Nyberg
Subject: Re: The only difference between 0.3+0.03+...+ 3/10^n and<br> 0.3+0.03+...+ 3/10^n + ... is the ELLIPSIS.
lørdag 7. oktober 2017 00.22.20 UTC+2 skrev John Gabriel følgende:

> The only difference between 0.3+0.03+...+ 3/10^n and 0.3+0.03+...+ 3/10^n + ... is the ELLIPSIS.

>

> A series is defined by its nth partial sum.

>

> S=0.3+0.03+...+ 3/10^n + ...

> Lim S = 1/3

>

> S = Lim S.

>

> Q.e.d.

>

> Comments are unwelcome and will be ignored.

>

> Posted on this newsgroup in the interests of public education and to eradicate ignorance and stupidity from mainstream mythmatics.

>

> gilstrang@gmail.com (MIT)

> huizenga@psu.edu (HARVARD)

> andersk@mit.edu (MIT)

> david.ullrich@math.okstate.edu (David Ullrich)

> djoyce@clarku.edu

> markcc@gmail.com

You say yourself

S = 0.3 + 0.03 + 0.03 + ... +3/10^n + ...

This is not how they wrote it.

They wrote S& = 0.3 + 0.03 + &...

This is actually S(n), not S (according to both Euclid and Euler).

From this they came to: lim S(n) = S (understood some limit not defined).

Get over it!

KON