Date: Jun 5, 2013 12:03 PM
Author: mina_world
Subject: Re: Analysys with f(f(a_n))
2013? 6? 5? ??? ?? 11? 52? 36? UTC+9, Peter Percival ?? ?:

> mina_world@hanmail.net wrote:

>

> > Hello teacher~

>

> >

>

> > a_1 = 1

>

> >

>

> > a_(n+1) = f(f(a_n)) (n >= 1)

>

> >

>

> > Find the lim{n->oo} a_n

>

>

>

> Doesn't it depend on f?

>

Oh, very sorry...

It's my mistake.

Disregard my problem.

In fact, original problem is

f(x) = x+2 (x<=0)

(-1/2)x (x>0)

a_1 = 1

a_(n+1) = f(f(a_n)) (n >= 1)

Find the lim{n->oo} a_n

I can find it loosely.( with X = f(f(X)) )