Re: Limit of list

*To*: mathgroup at smc.vnet.net*Subject*: [mg57479] Re: Limit of list*From*: Bill Rowe <readnewsciv at earthlink.net>*Date*: Sun, 29 May 2005 01:03:38 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

On 5/28/05 at 5:39 AM, guyi1 at netvision.net.il (Guy Israeli) wrote: >Is there a way to find out the convergence point of a list of >numbers? In general, no. The problem is there are literally an infinite number of ways to continue any finite list of numbers. For example, consider {1,2,3 ...} n + (n-1)(n-2)(n-3)f[n] for any arbitrary function f will have the same first three numbers. More complicated schemes can be imagnined. All I need to reproduce the first three numbers is to arrange for additive term to have zeros for n = 1,2,3. So by choosing the function appropriately, I can make it converge or diverge as I want. >for example if I have >{1,2,5,6,8,9,10,11,10,11,12,11,12.. and so on} If I assume the pattern displayed by the last four numbers persists, then the sequence doesn't converge. >it will give me something around 10-12 -- To reply via email subtract one hundred and four