  We show that the complex absorbing potential (CAP) method for computing
scattering resonances applies to the case of exponentially decaying potentials.
That means that the eigenvalues of $-\Delta + V - i\epsilon x^2$, $|V(x)|\leq C
e^{-2\gamma |x|}$ converge, as $ \epsilon\to 0+ $, to the poles of the
meromorphic continuation of $ ( -\Delta + V -\lambda^2 )^{-1} $ uniformly on
compact subsets of $\textrm{Re}\,\lambda>0$, $\textrm{Im}\,\lambda>-\gamma$,
$\arg\lambda > -\pi/8$.
