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On 9/4/2024 4:23 PM, WM wrote:
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, ...But all different unit fractions are different,Yes,
i.e., they sit at different positive x.
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
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