Re: Limit of nested function
- To: mathgroup at smc.vnet.net
- Subject: [mg122170] Re: Limit of nested function
- From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
- Date: Tue, 18 Oct 2011 07:41:03 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- References: <201110162045.QAA19694@smc.vnet.net>
You can do it this way at all. In fact, using a little mathematics you can show that your iteration has two fixed points x=0 and x=1. x=1 is an attractor and if you start iteration from any positive number the limit will be 1. E.g. In[50]:= FixedPoint[Sqrt[# Sqrt[#]] &, 1.2] Out[50]= 1. In[51]:= FixedPoint[Sqrt[# Sqrt[#]] &, 100.] Out[51]= 1. In[52]:= FixedPoint[Sqrt[# Sqrt[#]] &, 0.01] Out[52]= 1. You are expecting far too much from a computer program ... Andrzej Kozlowski On 16 Oct 2011, at 22:45, Miguel wrote: > How can I to calculate the limit of a nested function . Mathematica 6 > yields an error message "... Non negative machine size integer ...". > > For example, let > > > f[x,n]=Nest[Sqrt[# Sqrt[#]]&,x,n] > > For x=3, Limit[f[3,n], n->inf] > > Thanks > >
- References:
- Limit of nested function
- From: Miguel <mibelair@hotmail.com>
- Limit of nested function