# Infinum of a Set

1. Sep 24, 2008

### hockey777

x_{n+1}=2-\frac{1}{x_n}

I need to show that inf(x_n)=1

For someone reason this is proving to be more difficult than I thought, could someone pleas help?

2. Sep 24, 2008

### mathman

It would be a little clearer if you defined x_0. Also your notation is a little strange - frac{1}{x} means what? I am guessing it means the fractional part, but I am not sure.

3. Sep 24, 2008

### tiny-tim

Welcome to PF!

Hi hockey777! Welcome to PF!

Hint: start by subtracting 1 from each side.

(and type [noparse]$$before and$$ after your equations![/noparse] )