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Fahu — Proof that 1+1/2+1/3+...=Infinity
Published: 2012-11-17 16:55:34 +0000 UTC; Views: 1773; Favourites: 24; Downloads: 51
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Description
It is a well known fact in mathematics that the harmonic series - the sum of reciprocals of natural numbers - is divergent. Read more about it on Wikipedia: [link]Youtube version: [link]
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In Slovak:
To, že harmonický rad - súčet prevrátených hodnôt prirodzených čísel - diverguje, je v matematike dobre známym faktom. Prečítajte si o tom viac na Wikipédii: [link] (po anglicky)
Youtube verzia: [link]
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Comments: 13
As a mathematics undergraduate, I wholly approve of this animation 
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Thanks.
Yes, that's right. As a physicist I need to know a lot of math as well though.
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The program that I used for animating is Synfig.
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Nice. Didn't know about it before (or at least never really realized this). Math can be an art in itself.
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That was great. I knew it was true, but the proof we were told wasn't quite a clean as this one.
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If n=1, then the sum is 1
If n=2, then the sum is 3/2
If n=8, then the sum is somewhere between 2 & 3
If n=974698745, then the sum is significantly less than n
If n=infinity, then the sum is infinity, yet it is still significantly less than n.
Therefore infinity > infinity... wait... what? xD
Infinity is a relative term, and impossible to define.
Nice animation by the way. Very clear.
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Thank you.
Yes, infinity is an interesting concept, and there is more than one kind of infinity.
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