  We study the light deflection effect and the relativistic periastron and
frame-dragging precessions for a rotating black hole localized on the brane in
the Randall-Sundrum braneworld scenario. Focusing on a light ray, which passes
through the field of the black hole in its equatorial plane, we first calculate
the deflection angle in the weak field limit. We obtain an analytical formula,
involving the related perturbative parameters of the field up to the second
order. We then proceed with the numerical calculation of the deflection angle
in the strong field limit, when the light ray passes at the closest distance of
approach to the limiting photon orbit. We show that the deflection angles for
the light ray, winding maximally rotating Kerr and braneworld black holes in
the same direction as their rotation, become essentially indistinguishable from
each other for a specific value of the negative tidal charge. The same feature
occurs in the relativistic precession frequencies at characteristic radii, for
which the radial epicyclic frequency of the test particle motion attains its
highest value. Thus, the crucial role in a possible identification of the
maximally rotating Kerr and braneworld black holes would play their angular
momentum, which in the latter case breaches the Kerr bound in general
relativity.
