Crash Posted August 6, 2005 Posted August 6, 2005 Ok, i got a couple of probs. how do i prove if a series is divergent or convergent? and what is the nth term test? can someone please explain it to me?
Dave Posted August 6, 2005 Posted August 6, 2005 I don't know what the n'th term test is, but I suspect it's got something to do with the ratio lemma. To show a series is convergent, you need to show that the series of partial sums [math]s_n = \sum_{k=1}^n a_k[/math] is convergent. There are a series of results that can help you with this, though (i.e. comparison test, ratio lemma, etc).
Crash Posted August 6, 2005 Author Posted August 6, 2005 Could you suggest any good sites or books? Cheers
Dave Posted August 6, 2005 Posted August 6, 2005 The one book I would suggest is Guide to Analysis, M. Hart. It's rather good and has lots of examples to get you started.
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