Re: Series Summing to Different Values

My language might not have been precise.

What I meant was this: Suppose that the first run of negative terms
stops at -1/8. Then that sum is between t and t-1/8 where t is the
target. A later run of negative terms might stop at -1/34, in which
case that trough in the sum sequence lies between t and t-1/34. The
difference becomes ever smaller at the end of each run. Similarly for
the peaks in the sum sequence at th end of each positive run.

In other words, the peaks and troughs are bounded by monotone sequences
that converge to the targeted value.

--OL

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