We present electronic excitation spectra calculated in the random phas
e approximation (RPA) for bimetallic jellium films with widths ranging
from zero to several Fermi wavelengths. We find that for q(parallel-t
o) below roughly 0.1k(F), excitation frequencies converge to the surfa
ce plasmon frequencies of the Drude model at strikingly different rate
s as the slab thickens; and that this onset behavior is quite sensitiv
e to the shape of surface potential barriers. At larger wavevectors, t
he RPA response deviates from local behavior for all layer widths.