Re: 1+1+1+1+...=-1/2 There is a Wikipedia page for that serie which uses analytic continuation to obtain -1/2. S1=1+1+1+1+... S2= 1-1+1-1+... S1+S2= 1+2+0+2+0+... Only sum is shifted like what is done for other series summation. And finally for more fun: S1=-1/2 S1/6=-1/12 So: 1/6+1/6+1/6+1/6+... = 1+2+3+4+... Reply
There is a Wikipedia page for that serie which uses analytic continuation to obtain -1/2.
S1=1+1+1+1+...
S2= 1-1+1-1+...
S1+S2= 1+2+0+2+0+...
Only sum is shifted like what is done for other series summation.
And finally for more fun:
S1=-1/2
S1/6=-1/12
So:
1/6+1/6+1/6+1/6+... = 1+2+3+4+...