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Question: How do I distribute the Sum function over its summands

Question:How do I distribute the Sum function over its summands

Michael 237 Maple
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December 25 2010
0

Hi:

I have a number of functions all enclosed inside the Sum functionin the  following form:

Test:=Sum(f1(n)+f2(n)),n=1..infinity);

Each of the functions f1, etc are fairly complicated, and there are more than two, but this example will do.

How do I get Maple to expand Test into the form:

Test:=Sum(f1(n),n=1..infinity) + Sum(f2(n),n=1..infinity);

I've tried every combination of expand, simplify, combine collect, that I can think of - nothing works.

Thanks
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