[en] Scattering from screened Coulomb potentials in nonrelativistic quantum theory is discussed. The screening functions are used to bypass the difficulties associated with the long-range character of the Coulomb potential. It is shown that for an appropriate class of smooth, spherically symmetric screening functions the screened differential cross section goes over to the Coulomb differential cross section as the screening radius R becomes large. This is done by showing that the screened scattering amplitude goes over to the Coulomb scattering amplitude times an R-dependent phase factor as R becomes large. It is also shown that for an appropriate class of repulsive screened Coulomb potentials the limit is approached at least as fast as R/sup -1/2/. These results allow one to treat Coulomb scattering through conventional short-range scattering theory