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

Replies: 3   Last Post: Oct 7, 2017 7:19 AM

 Messages: [ Previous | Next ]
 Karl-Olav Nyberg Posts: 1,575 Registered: 12/6/04
Re: The only difference between 0.3+0.03+...+ 3/10^n and
0.3+0.03+...+ 3/10^n + ... is the ELLIPSIS.

Posted: Oct 6, 2017 7:27 PM

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

Date Subject Author
10/6/17 bursejan@gmail.com
10/6/17 Karl-Olav Nyberg
10/7/17 Markus Klyver