Re: Does the number of nines increase?

Liste des GroupesRevenir à s math 
Sujet : Re: Does the number of nines increase?
De : FTR (at) *nospam* nomail.afraid.org (FromTheRafters)
Groupes : sci.math
Date : 30. Jun 2024, 10:55:32
Autres entêtes
Organisation : Peripheral Visions
Message-ID : <v5ra2m$fcfm$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : MesNews/1.08.06.00-gb
WM wrote on 6/29/2024 :
Le 29/06/2024 à 11:37, FromTheRafters a écrit :
Ross Finlayson pretended :
>
You know, or it "goes" to.
 Yes, but the number of nines in the sequence after the radix point is countably infinite rather than finite, hence NaN in this context.
>
All nines are from the sequence 0.9, 0.09, 0.009, ... None of the ℵo nines makes its partial sum 0,9, 0.99, 0.999, ... equal to 1
Yes it does, the sequence of partial sums approaches/converges to one. This *complete* ordered field of reals guarantees cauchy sequence convergence. See how real numbers are defined.

Date Sujet#  Auteur
25 Jun 24 * Does the number of nines increase?427WM
26 Jun 24 +* Re: Does the number of nines increase?358Jim Burns
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