Friday, May 11, 2018

sequences and series - Does zeta(1)=1/12 or zeta(1)to1/12?

I saw NumberPhile channel on Youtube, and they proved 1+2+3+=1/12. Also, I read This.



So, which one is correct


ζ(1)=1/12orζ(1)1/12


Equivalent to:


1+2+3+=1/12or1+2+3+1/12




My question: Does it "equal" or "converge"?



Question Explanation:


I mean by "" "approaches to", like xa means ϵ>0,|xa|<ϵ.

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