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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)
Date: Thu, 31 Oct 2024 12:02:41 -0400
Organization: Peripheral Visions
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WM explained :
> On 31.10.2024 12:00, FromTheRafters wrote:
>
>> Failure to recognize that discontinuity is mathematical noted.
>
> False. NUF(x) can only increase at unit fractions. They cause no larger 
> discontinuity than 1.

Wrong, your function, if swept as you seem to require, jumps from zero 
to countable infinity and stays there. Why do you call 1 a 
discontinuity?