Find the sum of the following series: I don't know where to begin in this, can't recognize any of the known series. My attempt: General term: Which is the general term of the series where and So the sum Answer is: Thanks!
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Consider the series Now integrate to get Note that this is your series when
Other solution ( using D for derivative and arctgh(x) for ArcTanh(x) ) we know that and so using the geometric series for we have so taking x=1/3
So the sum would be when ? to three s.f. answer is
Another try by the parcial fraction decomposition we get taking a=3
Originally Posted by arze My attempt: General term: (Correct.) Which is the general term of the series where (Should be n = –1.) and So the sum (Make that .) Answer is: ..
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