# Homework Help: Is this a correct use of the Order Limit Theorem?

1. Sep 13, 2011

### jdinatale

1. The problem statement, all variables and given/known data

2. Relevant equations
Order Limit Theorem:

Assume $\lim a_n = a$ and $\lim b_n = b$.

(ii) If $a_n \leq b_n$, for all $n \in \mathbf{N}$, then $a \leq b$

3. The attempt at a solution

2. Sep 13, 2011

### Dick

Looks fine to me.