  It is discussed how a limiting procedure of conformal field theories may
result in logarithmic conformal field theories with Jordan cells of arbitrary
rank. This extends our work on rank-two Jordan cells. We also consider the
limits of certain three-point functions and find that they are compatible with
known results. The general construction is illustrated by logarithmic limits of
(unitary) minimal models in conformal field theory. Characters of
quasi-rational representations are found to emerge as the limits of the
associated irreducible Virasoro characters.
