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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Does the number of nines increase?
Date: Fri, 28 Jun 2024 15:28:53 -0700
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On 6/27/2024 1:16 PM, Chris M. Thomasson wrote:
> On 6/27/2024 4:49 AM, WM wrote:
>> Le 26/06/2024 à 12:40, FromTheRafters a écrit :
>>> WM has brought this to us :
>>
>>>>>> Corollary-question: Does the number of nines grow when in 0.999 
>>>>>> the decimal point is shifted by one or more position?
>>>>>
>>>>> What do you think multiplying by ten does to a continued decimal 
>>>>> expansion representation?
>>>>
>>>> You must understand that no natural number can be added to the 
>>>> complete set. 
>>>
>>> Of course not, a set contains *all* of its elements.
>>
>> And all are indices of the nines in 0.999... .
> 
> 
> r[0] = .9
> r[n] = r[0] + 10^(-n) * .9
^^^^^^^^^^^^^^

Ahhh shit! Damn typos! That recursion should be:

r[n] = r[n - 1] + 10^(-n) * .9

Sorry everybody!


> 
> lets expand it for a couple of iterations:
[...]
>