Limits of nuclear cluster detection. G_obj/G_PSF calculated for an exponential profile (red symbols), a nucleated exponential profile (blue symbols), and noise (gray symbols). The values on the x axis indicate the difference between the total magnitude of the simulated nucleus and that of the galaxy, and thus those values are only relevant for the red symbols. For other symbols, the different locations on the x axis correspond to different realizations of the same galaxy. The panels show the G_obj/G_PSF values for galaxies with different SBs.