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Question: How to compute a sum to infinity?

Question:How to compute a sum to infinity?

afeddersen 449
infinity sum
June 06 2010
0

I´d like to compute some sums where x ranges to infinity.

How may I compute that in Maple?

 

sum(ln(x)/((x)^(2)+3*x+2.),x=1..infinity):


didn´t work.

 

add(ln(x)/((x)^(2)+3*x+2.),x=1..10000):

 

is possible and though I know the limit of the expression

limit(ln(x)/((x)^(2)+3*x+2),x=infinity) is known and zero, I have no idea of how to compute the sum to infinity from the first place.

Thanks for any suggestions.
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