Perhaps not entirely coincidentally ...pic.twitter.com/SzaYufqbDs
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Is this related to the famous fact zeta(-1) = -1/12?
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Cool! I tried proving it myself, then found a proof online and it's much more complicated than I expected. So, it's kind of obvious that this will converge exponentially, but it's fun to see: by the fourth term, the relative error from 1/24 is about 10⁻¹⁰
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I have a tough time wrapping my head around this. (I am not exactly skilled in higher math). If a get a big old legal pad and lots of pencils does the result trend to 1/24 ?
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Absolutely. Compute enough terms of the series and you will see it approach 1/24.
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Where oh where did the irrationally go?? :0
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(Though I suppose if e^((i)(pi)) can be -1, then everything’s up for grabs. :) )
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Interesting result Dillon. Didn't John Baez
@johncarlosbaez once do something in his famous "This Weeks Finds" series where he talked about why 24 was (one of) his favourite numbers ?
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