  We consider the zeros of exceptional orthogonal polynomials (XOP).
Exceptional orthogonal polynomials were originally discovered as eigenfunctions
of second order differential operators that exist outside the classical
Bochner-Brenke classification due to the fact that XOP sequences omit
polynomials of certain degrees. This omission causes several properties of the
classical orthogonal polynomial sequences to not extend to the XOP sequences.
One such property is the restriction of the zeros to the convex hull of the
support of the measure of orthogonality. In the XOP case, the zeros that exist
outside the classical intervals are called exceptional zeros and they often
converge to easily identifiable limit points as the degree becomes large. We
deduce the exact rate of convergence and verify that certain estimates that
previously appeared in the literature are sharp.
