The limits are a complicated function of the inclination and eccentricity, but in general, prograde orbits with semi-major axes up to 0.47 rH (Hill sphere radius) can be stable, whereas for retrograde orbits stability can extend out to 0.67 rH.
Orbits' boundaries are intricate, depending on inclination and eccentricity, but generally, prograde orbits with semi-major axes up to 0.47 times the Hill sphere radius can be stable, while retrograde orbits can remain stable out to 0.67 times the Hill sphere radius.