  In this paper we consider the existence of dense embeddings of Limit groups
in locally compact groups generalizing earlier work of Breuillard, Gelander,
Souto and Storm [GBSS] where surface groups were considered. Our main results
are proved in the context of compact groups and algebraic groups over local
fields. In addition we prove a generalization of the classical Baumslag lemma
which is a useful tool for generating eventually faithful sequences of
homomorphisms. The last section is dedicated to correct a mistake from [BGSS]
and to get rid of the even genus assumption.
