How many different unit fractions are lessorequal than all unit fractions?

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Sujet : How many different unit fractions are lessorequal than all unit fractions?
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 02. Sep 2024, 18:07:58
Autres entêtes
Message-ID : <vb4rde$22fb4$2@solani.org>
User-Agent : Mozilla Thunderbird
How many different unit fractions are lessorequal than all unit fractions? The correct answer is: one unit fraction. If you claim more than one (two or three or infintely many), then these more must be equal. But different unit fractions are different and not equal to each other.
Another answer is that no unit fraction is lessorequal than all unit fractions. That means the function NUF(x)
Number of UnitFractions between 0 and x > 0
with NUF(0) = 0 will never increase but stay at 0. There are no unit fractions existing at all.
Therefore there is only the one correct answer given above.
Regards, WM

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