  We prove semi-classical resolvent estimates for real-valued potentials V
$\in$ L $\infty$ (R n), n $\ge$ 3, of the form V = VL + VS, where VL is a
long-range potential which is C 1 with respect to the radial variable, while VS
is a short-range potential satisfying VS(x) = O x --$\delta$ with $\delta$ > 1.
