can anyone show me how to Determine whether ∑(k=1 to n) [(1-ksin(1/k)] converges . TQ
Last edited by younhock; Mar 2nd 2010 at 12:48 AM.
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If the general term of the series is the series diverges because is ... may be that the are something else?... Kind regards
Originally Posted by chisigma If the general term of the series is the series diverges because is ... may be that the are something else?... Kind regards oh yea.. mistype a k there.. updated.. tQ.
All right!... so the series is... (1) Using the series expansion... (2) ... we find that... (3) ... so that the (1) becomes... (4) ... and the series (1) converges... Kind regards
Originally Posted by chisigma All right!... so the series is... (1) Using the series expansion... (2) ... we find that... (3) ... so that the (1) becomes... (4) ... and the series (1) converges... Kind regards TQ.Just wanna share with u, i found another alternative way of solving this question and it is much more simpler .By using limit comparison test comparing to 1/k^2 .
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