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Subject: Re: How many different unit fractions are lessorequal than all unit 
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From: WM <wolfgang.mueckenheim@tha.de>
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Le 04/09/2024 à 23:26, Jim Burns a écrit :
> On 9/4/2024 4:23 PM, WM wrote:

>> But all different unit fractions are different,
>> i.e., they sit at different positive x.
> 
> Yes,
> each two sit at two points,
> because ∀n ∈ ℕ: ⅟n-⅟(n+1) > 0
> 
>> Therefore only one can sit closest to zero.
> 
> No,
> each sits not.closest to zero,
> because ∀n ∈ ℕ: ⅟n-⅟(n+1) > 0

NUF(x) increases from 0 to more. It cannot increase to 2 or more before 
having accepted 1. It cannot increase to ℵo without having accepted 1, 
2, 3, ...

Regards, WM