Let $M$ be a compact, oriented, irreducible, atoroidal 3-manifold with nonempty boundary. Let $CC_0(M)$ denote the space of convex cocompact Kleinian groups uniformizing $M$. We show that any Kleinian group in the boundary of $CC_0(M)$ whose limit set is the whole sphere can be approximated by maximal cusps. Density of maximal cusps on the boundary of Schottky space is derived as a corollary. We further show that maximal cusps are dense in the boundary of the quasiconformal deformation space of any geometrically finite hyperbolic 3-manifold with connected conformal boundary.