Geometric limits of knot complements

We prove that any complete hyperbolic 3-manifold with finitely generated fundamental group, with a single topological end, and which embeds into S-3 is the geometric limit of a sequence of hyperbolic knot complements in S-3. In particular, we derive the existence of hyperbolic knot complements that contain balls of arbitrarily large radius. We also show that a complete hyperbolic 3-manifold with two convex cocompact ends cannot be a geometric limit of knot complements in S-3.