Re: divergent series ?


<blaetterrascheln@xxxxxx> wrote in message
news:1165800436.034990.71280@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
rancid moth wrote:
S=1/z + 1/(1+z) +...+ 1/(z+p-1) - 1/(z+p) - 1/(z+p+1) -...- 1/(z+2p+q-1)
+
1/(z+2p+q)+...

that is every p-postive set of terms are followed by p+q negative
terms...and it repeats in that fashion. The aim is to show that this
series
is divergent. I have an intuitive understanding of why - but im not sure
what would constitute a proof

+ + + - - - - - + + + - - - - - + + + - - - - - + + + ...
a____ b__ c____ d____ e__ f____ g____ h__ i____ ...

the sum approaches minus infinity
because a+c<0, d+f<0, g+i<0, etc
and b+e+h+... diverges in the fashion
of the harmonic series


Hello,

I dont get it. I dont understand what you associate a,b,c,d,e,f,g,h,i to.
it looks like to be that a>0 and c>0 and so how can a+c<0 ?


.