Talk:Alternating series test

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Mathematics rating:	Start Class	Low Priority	Field: Analysis
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. consider merging with alternating series article until they grow a bit--Cronholm144 04:06, 14 May 2007 (UTC)

Is the Leibniz test a criterion, I think it isn`t --FHen 09:48, 3 February 2006 (UTC)

[edit] The counterexample.

The counterexample to the converse (the alternating harmonic series) has nothing to do with the alternating series test. Rather, it's a counterexample to the converse of the statement "any alternating series that converges absolutely converges," also true, but not the matter at hand. Since I can't come up with a counterexample, I'm removing it; if someone "in the know" could come up with a better one, that would be great. Twin Bird 17:28, 30 March 2006 (UTC)

I'm not sure the last sentence is true, and am so marking it. Septentrionalis 04:20, 29 March 2006 (UTC)

'Tis, per example. Septentrionalis 17:55, 29 March 2006 (UTC)

The only counterexamples I can think of are about finite series (a_n = 0 for n above some N). For n < N they can be anything, like nⁿ :) --11:36, 25 June 2007 (UTC)

[edit] Wasn't very clear

I reworded it a little, in order to say more clearly that if the conditions hold then the series converges. LDH 19:01, 12 December 2006 (UTC)