We calculate the transport coefficients of steeply repulsive inverse p
ower, r(-n), potential fluids using the Green-Kubo time correlation fu
nction method. We have explored the effect of potential steepness on t
he transport coefficients of these model fluids as they approach the h
ard-sphere limit. We have found that, even with an inverse power poten
tial index, n = 144, there are still noticeable differences in some of
the properties when compared with the hardsphere fluid at the same nu
mber density. The compressibility factor, shear viscosity and thermal
conductivity are some 5-10% lower than the hard-sphere value, although
the self-diffusion agrees well with the hard-sphere value for n > 72.