The equation of state of symmetric nuclear matter at zero temperature
is calculated up to the three hole-line level of approximation in the
Bethe-Brueckner-Goldstone expansion. Both the standard and the continu
ous choices for the single particle auxiliary potential are considered
. The resulting equation of state shows independence from the choice o
f the auxiliary potential to a high degree of accuracy. This result gi
ves strong evidence for the convergence of the expansion and establish
es the nuclear matter saturation curve fur the adopted nucleon-nucleon
interaction, the Argonne v(1+) potential.