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

On 07.09.2024 04:01, Richard Damon wrote:

On 9/6/24 8:12 AM, WM wrote:

On 05.09.2024 21:57, Jim Burns wrote:

On 9/5/2024 9:59 AM, WM wrote:

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NUF(x) increases from 0 to more.

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...at 0.

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No. NUF(x) counts the unit fractions between 0 and x. Between 0 and 0 there is no unit fraction. NUF(0) = 0.

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But it CAN'T for the values of x that are finite, as for ANY finite number, there is an infinite number of unit factions below it, so it can't ever have a finite value for any finite x.

 This idea must be dropped.