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Re: error with Sum and Infinity
On 8/9/09 at 6:19 PM, fateman at cs.berkeley.edu (Richard Fateman) wrote: >You and I know that Mathematica didn't do the right thing. But there >was no way for a user to determine if the problem was ill-posed in >terms of Mathematica. I disagree. The problem posed was an infinite sum of terms all 0 except at for one term with a value of 1. Any real thought about the posed problem should come to the clear conclusion Mathematica cannot literally sum an infinite series. For an arbitrary series, it would seem the apparent the most direct way to evaluate such a sum would be to sample various terms. Such an approach with the specific series should lead one to expect the result 0. It seems to me for problems of this sort, there is a lack of thinking about what is known and drawing reasonable conclusions from that.