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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Fri, 6 Sep 2024 22:01:21 -0400
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On 9/6/24 8:24 AM, WM wrote:
> On 06.09.2024 00:50, Moebius wrote:
> 
>> On the other hand, since NUF is constant on (0, oo) 
> 
> NUF(0) = 0.
> NUF(x) grows in the positive real numbers.
> It cannot grow by more than 1 at any real number.
> 
> Regards, WM
> 

And thus grows to infinity in the sub-finite values between 0 and the 
positive real numbers.

It can not be defined otherwise.

So, there isn't a smallest unit fraction, but only a smallest sub-finite 
unit fraction that is the reciprical of some post-finite value which is 
above all the infinite number of finite natural numbers.