MathGroup Archive 2011

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: Limit of nested function

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

  • Prev by Date: Receive e-mails with Mathematica 8
  • Next by Date: Low CPU usage
  • Previous by thread: Limit of nested function
  • Next by thread: Re: Limit of nested function