We investigate higher order effects in the nonrelativistic expansion o
f lattice QCD on the heavy-light meson decay constants and some other
quantities in order to understand the truncation error of NRQCD. While
our numerical results have large O(a) and O(alpha(s)) errors due to t
he use of Wilson light quark action and the tree-level matching, we fi
nd that the truncation error of higher order relativistic corrections
are adequately small around the mass of the b quark. We also present a
perturbatively matched results through 1-loop level without operator
mixing effects.