  We report MC calculations of perturbative coefficients for lattice scalar
field theory in dimensions 1, 2 and 3, where the large field contributions are
cutoff. This produces converging (instead of asymptotic) perturbative series.
We discuss the statistical errors and the lattice effects and show that
accurate calculations are possible even in a crossover region where no
approximation works. We show that the field cutoff is also a UV regulator. We
point out the relevance for QCD questions discussed by Tomboulis and Trottier
at this conference.
