this post was submitted on 23 Jun 2024
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Science Memes

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Science memes (mander.xyz)
submitted 1 week ago by [email protected] to c/[email protected]
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[–] [email protected] 1 points 1 week ago (3 children)

The assumption is that the size decreases geometrically, which is reasonable for this kind of self similarity. You can't just say "less than harmonic" though, I mean 1/(2n) is "slower".

[–] [email protected] 2 points 1 week ago (2 children)

Eh, that's just 1/2 of the harmonic sum, which diverges.

[–] [email protected] 2 points 1 week ago (1 children)

Yes, but it proves that termwise comparison with the harmonic series isn't sufficient to tell if a series diverges.

[–] [email protected] 3 points 1 week ago

Very well, today I accede to your superior pedantry.

But one day I shall return!