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Le 15/08/2024 à 18:16, Jim Burns a écrit :Taking steps only until the next unit fraction, you never reach 0.On 8/15/2024 9:52 AM, WM wrote:⎜ Assume NUF(x) = 0 and x > 0We assume that NUF(0) = 0 and many unit fractions are within (0, 1].
We can reduce the interval to (0, x) c [0, 1]. Let x converge to 0.
Then the number of unit fractions diminishes. Finally there is none
remaining. But never, for no interval (0, x), more than one unit
fraction is lost. Therefore there is only one last unit fraction.
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