Well, I already know that Riemann proved that a conditionally convergent infinite series can be rearranged to converge to any real number as well as diverge to either positive or minus infinity. But specifically how is this done in an example? For example if I want the alternating harmonic (which "usually" converges to ln(2)) to converge to 5, how can I rearrange the terms?
In addition, does anyone know of any conditionally convergent series that are NOT alternating. It seems to me from the definition that it doesn't always have to be alternating to be conditionally convergent.
2007-10-16
20:06:31
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1 answers
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asked by
The Prince
6