We study the innermost regions of bulges with surface-brightness data derived from combined HST/NICMOS and ground-based NIR profiles. Bulge profiles to 1--2 kpc may be fit with Sersic laws and show a trend with bulge-to-disk ratio: low-B/D bulges are roughly exponential, whereas higher-B/D bulges show increasing Sersic shape index, n, indicating higher peak central densities and more extended brightness tails. N-body models of the accretion of satellites onto disk--bulge--halo galaxies show that satellite accretion contributes to the increase of the shape index, n, as the bulge grows by accretion. The N-body results demonstrate that exponential profiles are fragile to merging, hence bulges with exponential surface-brightness profiles cannot have experienced significant growth by the accretion of dense satellites.