Given that converges and is monotonic and bounded, prove converges. So I know and converges, so Where do I go from here?
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Originally Posted by I-Think Given that converges and is monotonic and bounded, prove converges. So I know and converges, so Where do I go from here? PlanetMath: proof of Abel's test for convergence
Let , and since the sequence is bounded. We have for : We have to show that the sequence is a Cauchy sequence. To see that, write for :
Last edited by Plato; Aug 21st 2011 at 11:44 AM.
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