I came across the following video on YouTube: Sum of all natural numbers (- 1/8).
Basically what happens is:
1+2+3+⋯=N1+(2+3+4)+(5+6+7)+⋯=N1+9+18+27+⋯=N1+9(1+2+3+4+⋯)=N1+9N=N
and therefore N=−18.
This is directly in contradiction with the well-known result of −112.
What is the problem with this reasoning? Was this result discovered earlier? Is this a consequence of Riemann's Rearrangement Theorem? Thanks in advance.
This was a repost of my previous post because some people said it was a duplicate to "Why is the sum of natural numbers −1/12?"
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