Sujet : Re: The truncated harmonic series diverges.
De : efji (at) *nospam* efi.efji (efji)
Groupes : sci.mathDate : 05. Mar 2025, 18:18:04
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Organisation : A noiseless patient Spider
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Le 05/03/2025 à 11:01, WM a écrit :
The harmonic series diverges. Kempner has shown in 1914 that all terms containing the digit 9 can be removed without changing the divergence.
???
Kempner has shown in 1914 that the harmonic series CONVERGES if you omit all terms whose denominator expressed in base 10 contains the digit 9.
https://en.wikipedia.org/wiki/Kempner_series-- F.J.