# Limit proof

1. Mar 22, 2012

### cristina89

Be {xn} a sequence that satisfies the condition 0 ≤ $x_{m+n}$ ≤ $x_{m}$ + $x_{n}$. Prove that $lim_{n ->∞}$ xn/n exists.

I'm kind of lost in this.

2. Mar 22, 2012

### Dick

I would start by thinking like this:

x2<=x1+x1

x3<=x2+x1<=x1+x1+x1

etc. What can you make of that?

3. Mar 25, 2012

### cristina89

Ughh I'm still lost :S

4. Mar 25, 2012

### I like Serena

Hi cristina89!

Can you write xn in the form that Dick suggested?