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[seul-edu] [OT] summation of 1/2x




> > I got to thinking of this last week when a friend and I were trying to
> > remember what the summation of 1/x evaluated from x=0 to x=infinity
> > is.
>
>I would like to see what you found! ;-)

If I remember well, there is a trick to calculate the sum of 1/2x from 1 to 
infinity
you just need a sheet of paper:
  + first you cut in half the sheet of paper: you get 1/2 sheet and another 
1/2 sheet
  + then you cut in half again one of the 1/2 sheet: you get 1/4 and 1/4
+  then you cut in half again...

so you can prove that 1/2+1/4+1/8+..+1/2n+.. = 1

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