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VI Planck units refute converging infinite sequences and limits
Only finite converging sequences can be justified

Nov. 2022. The irrational numbers are defined by limits of potentially infinite converging sequences of rational numbers that require infinite sequences of digits of the irrational numbers. Real numbers can be generated by mapping of segments. However, the subdivision of distances is limited by the Planck length, which only allows finite digits when mapped to real numbers. Potentially infinite sequences of ever smaller differences of distances and numbers as well as limits can no longer be justified. They are replaced by finite sequences with limitation of digits. This also applies to analysis, the differential and integral calculus, the Planck-length causes limitation. Limits, Δ x → 0, n → ∞ and infinitesimals do not occur. Limitation and Δx = 0, "nothing", are the decisive criteria. In practice already always limitation-values are determined, the calculation must be terminated sometime.