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 Infinite Pentation (and x-srt-x) tommy1729 Ultimate Fellow Posts: 1,370 Threads: 335 Joined: Feb 2009 05/03/2009, 10:42 PM (04/13/2009, 05:01 PM)bo198214 Wrote: andydude Wrote:$\eta < \text{srt}_{k+1}({k+1}) < \text{srt}_k(k)$ for all $k \ge 5$ by lemma (4) and lemma (5). ... In the limit, the squeeze theorem and completeness should guarantee that the limit exists and converges to $\eta$. Is this right? I dont think so. When the sequence is decreasing and bounded it has a limit. But this limit could be probably bigger than $\eta$. Or did I overlook something? $\eta < \text{srt}_{k+1}({k+1}) < \text{srt}_k(k)$ for all $k \ge 5$ so the limit must be eta when lim k = oo because the rule is < and not =< , i think bo has overlooked that !?! or did i miss something ? « Next Oldest | Next Newest »

 Messages In This Thread Infinite Pentation (and x-srt-x) - by andydude - 04/11/2009, 09:16 AM RE: Infinite Pentation (and x-srt-x) - by bo198214 - 04/11/2009, 09:31 AM RE: Infinite Pentation (and x-srt-x) - by andydude - 04/11/2009, 07:54 PM RE: Infinite Pentation (and x-srt-x) - by nuninho1980 - 04/11/2009, 12:44 PM RE: Infinite Pentation (and x-srt-x) - by andydude - 04/11/2009, 06:42 PM RE: Infinite Pentation (and x-srt-x) - by nuninho1980 - 04/11/2009, 01:24 PM RE: Infinite Pentation (and x-srt-x) - by andydude - 04/11/2009, 06:30 PM RE: Infinite Pentation (and x-srt-x) - by andydude - 04/11/2009, 06:50 PM RE: Infinite Pentation (and x-srt-x) - by nuninho1980 - 04/11/2009, 09:58 PM RE: Infinite Pentation (and x-srt-x) - by andydude - 04/12/2009, 08:19 AM RE: Infinite Pentation (and x-srt-x) - by andydude - 04/11/2009, 08:11 PM RE: Infinite Pentation (and x-srt-x) - by andydude - 04/12/2009, 08:58 AM RE: Infinite Pentation (and x-srt-x) - by bo198214 - 04/13/2009, 05:01 PM RE: Infinite Pentation (and x-srt-x) - by tommy1729 - 05/03/2009, 10:42 PM RE: Infinite Pentation (and x-srt-x) - by bo198214 - 05/03/2009, 10:51 PM RE: Infinite Pentation (and x-srt-x) - by tommy1729 - 05/03/2009, 10:57 PM RE: Infinite Pentation (and x-srt-x) - by bo198214 - 05/03/2009, 11:20 PM RE: Infinite Pentation (and x-srt-x) - by BenStandeven - 05/04/2009, 08:20 PM RE: Infinite Pentation (and x-srt-x) - by bo198214 - 05/04/2009, 08:57 PM RE: Infinite Pentation (and x-srt-x) - by andydude - 04/13/2009, 05:27 AM RE: Infinite Pentation (and x-srt-x) - by bo198214 - 05/31/2011, 10:29 PM

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