Re: Re: Limit of list

*To*: mathgroup at smc.vnet.net*Subject*: [mg57596] Re: [mg57527] Re: Limit of list*From*: Paul Abbott <paul at physics.uwa.edu.au>*Date*: Wed, 1 Jun 2005 06:04:34 -0400 (EDT)*References*: <d79ejm$lb1$1@smc.vnet.net> <200505310859.EAA03396@smc.vnet.net> <opsrnpltapiz9bcq@monster.ma.dl.cox.net>*Sender*: owner-wri-mathgroup at wolfram.com

>SequenceLimit. Another COMPLETELY undocumented feature. Not COMPLETELY undocumented. Try ?SequenceLimit >Just as well, I guess, since it can't possibly work. Why not? SequenceLimit returns the approximation given by Wynn's epsilon algorithm to the limit of a sequence whose first few terms are given by list. This algorithm can give finite results for divergent sequences. As I understand it, SequenceLimit is used by NIntegrate when Method->Oscillatory. Cheers, Paul > >Bobby > >On Tue, 31 May 2005 04:59:40 -0400 (EDT), Paul Abbott ><paul at physics.uwa.edu.au> wrote: > >>In article <d79ejm$lb1$1 at smc.vnet.net>, >> Guy Israeli <guyi1 at netvision.net.il> wrote: >> >>>Is there a way to find out the convergence point of a list of numbers? >>> >>>for example if I have >>> >>>{1,2,5,6,8,9,10,11,10,11,12,11,12.. and so on} >>> >>>it will give me something around 10-12 >> >>Try SequenceLimit: >> >> SequenceLimit[{1,2,5,6,8,9,10,11,10,11,12,11,12}] >> >>Also, if your list is entering a cycle there have been previous >>MathGroup postings on methods for detecting cycles. >> >>Cheers, >>Paul >> > > > >-- >DrBob at bigfoot.com