Prove the irrationality of pi by contradiction

  • #36
I think I've confused myself too :oldlaugh:, since Wikipedia gives a slightly different rundown of this part of the proof. Ultimately the summation still becomes an integer, but they seem to say there are some more constant terms:

1589288046751.png


I'll need to read over this again, because it's giving me a headache 😁. I don't think we're too far off but there is perhaps a little bit left to this part of the proof.
 
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  • #37
I tried evaluating the 3rd derivative of ##x^4(\pi - x)^4## at ##x=0## and ##x=\pi## and I get zero on both counts, so I struggle to see what Wikipedia is trying to push here!
 
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