I am studying for my final in undergrad analysis, and have a question concerning sequences. Here it is. Let $\displaystyle \{s_n\}$ be a sequence $\displaystyle \backepsilon \{s_n\}>0 \; \forall \; n \in \mathbb{N}.$ Suppose $\displaystyle \lim_{n \to \infty}s_n=s. $ Show that $\displaystyle s \ge 0. $

Thanks in advance.

-the Doctor