  We use a chiral random matrix model with 2N_f flavors to mock up the QCD
Dirac spectrum at finite chemical potential. We show that the 1/N approximation
breaks down in the quenched state with spontaneously broken chiral symmetry.
The breakdown condition is set by the divergence of a two-point function, that
is shown to follow the general lore of macroscopic universality. In this state,
the fermionic fluctuations are not suppressed in the large N limit.
