In this paper, we prove a limit set intersection theorem in relatively
hyperbolic groups. We also show that a nonparabolic relatively quasiconvex
subgroup cannot contain a proper conjugate of itself. Several well-known
results on limit sets of geometrically finite Kleinian groups are derived in
relatively hyperbolic groups. Lastly, we establish the dynamical quasiconvexity
for undistorted subgroups of finitely generated groups with nontrivial Floyd
boundary.