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From: Barton W. <wi...@un...> - 2014-06-24 14:12:26
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Are there option variables that would allow Maxima to termwise integrate an infinite sum? I've tried
(%i15) integrate(sum(z^k/k!,k,0,inf),z,0,x),intanalysis : false, assume_pos : true;
defint: integral is divergent.
And
(%i21) limit(integrate(sum(z^k/k!,k,0,n),z,0,x),n,inf),intanalysis : false, assume_pos : true;
(%o21) limit(sum(x^(k+1)/((k+1)*k!),k,0,n),n,inf)
There are, of course, obvious workarounds, but if integrate could be forced into termwise integration, it
would greatly simplify the logic of the powerseries code.
--Barton
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