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Topic: Analysys with f(f(a_n))
Replies: 4   Last Post: Jun 6, 2013 5:33 AM

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 mina_world Posts: 2,144 Registered: 12/13/04
Re: Analysys with f(f(a_n))
Posted: Jun 5, 2013 12:03 PM

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)) )

Date Subject Author
6/5/13 mina_world
6/5/13 Norbert_Paul
6/5/13 Peter Percival
6/5/13 mina_world
6/6/13 William Elliot