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We prove that any complete hyperbolic 3‐manifold with finitely generated fundamental group, with a single topological end, and which embeds intoS  3is the geometric limit of a sequence of hyperbolic knot complements inS  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 inS  3    .

Geometric limits of knot complements