Accurate evaluation of a line source function, S, requires that the frequency bandwidth be sufficiently large to include properly transfer effects in the line wings. The bandwidth required to achieve a given level of accuracy in the evaluation of S can be specified, in units of the Doppler width, in terms of three parameters: the ratio of continuum to line opacity, ro, the probability for collisional deexcitation, ε, and the Voigt wing parameter . Bandwidths required to give S to an accuracy of 2 percent are given for values of ε and ro from 10-2 to 10-8 and for values of from 10-2 to 10-5.