  We investigate the approach of pure SU(2) lattice gauge theory with the
Wilson action to its continuum limit using the deconfining transition,
Luescher's gradient flow, and the cooling flow to set the scale. Of those, the
cooling flow turns out to be computationally most efficient. We explore
systematic errors due to use of three different energy observables and two
distinct reference values for the flow time, the latter obtained by matching
initial scaling behavior of some energy observables to that of the deconfining
transition. Another important source of systematic errors are distinct fitting
forms for the approach to the continuum limit. Besides relying in the
conventional way on ratios of masses, we elaborate on a form introduced by
Allton, which incorporates asymptotic scaling behavior. Ultimately we find
that, though still small, our systematic errors are considerably larger than
our statistical errors. ~
