  Let $(X,p)$ be a Ricci limit space. We show that for any $\epsilon > 0$ and
$x \in X$, there exists $r< \epsilon$, depending on $\epsilon$ and $x$, so that
any loop in $B_{r}(x)$ is contractible in $B_{\epsilon}(x)$. In particular, $X$
is semi-locally simply connected. Then we show that the generalized Margulis
lemma holds for Ricci limit spaces of $n$-manifolds.
