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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: Mon, 8 Jul 2024 20:23:17 -0700
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On 7/8/2024 6:39 AM, WM wrote:
> Le 07/07/2024 à 22:28, "Chris M. Thomasson" a écrit :
>> On 7/7/2024 1:27 PM, WM wrote:
> 
>>>>> There are only countably many finite expression.
>>>>
>>>> What generated this?
>>>>
>>>> .(121232)
>>>>
>>>> ?
>>>
>>> The finite formula ".(121232)" generated this.
>>
>> Did you know that a rational generated it?
> 
> Every periodic decimal number has a rational limit.

Can every real be represented by the convergents of infinite continued 
fractions?