Saturday, 14 July 2012

Find the flaw

Let S = 1-1+1-1+1-1+....................................
Now, clearly the series is divergent and the sum won't exist. But, find a flaw in this argument

S = 1-1+1-1+1-1+.................................... (i)
S =     1-1+1-1+1-1+....................................(ii)
Adding (i) and (ii)


2S = 1
S = 0.5