How does one prove that the series

1 + 1/3 - 1/2 + 1/5 + 1/7 - 1/4 + 1/9 + 1/11 - 1/6 + ...

converge?

PS.: This series is a rearrangement of the alternating harmonic series in which two positive terms are always followed by one negative.

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- Nov 25th 2010, 07:57 PMjefferson_lcconvergence of series.
How does one prove that the series

1 + 1/3 - 1/2 + 1/5 + 1/7 - 1/4 + 1/9 + 1/11 - 1/6 + ...

converge?

PS.: This series is a rearrangement of the alternating harmonic series in which two positive terms are always followed by one negative. - Nov 25th 2010, 08:39 PMchisigma
The series converges... but not as because that is a

*weakly convergent series*...

Kind regards

- Nov 26th 2010, 05:21 AMtonio