  We investigate the connection between Osserman limit series (on curves of
pseudocompact type) and Amini-Baker limit linear series (on metrized complexes
with corresponding underlying curve) via a notion of pre-limit linear series on
curves of the same type. Then, applying the smoothing theorems of Osserman
limit linear series, we deduce that, fixing certain metrized complexes, or for
certain types of Amini-Baker limit linear series, the smoothability is
equivalent to a certain "weak glueing condition". Also for arbitrary metrized
complexes of pseudocompact type the weak glueing condition (when it applies) is
necessary for smoothability. As an application we confirm the lifting property
of specific divisors on the metric graph associated to a certain regular
smoothing family, and give a new proof of the main theorem in the paper of
Cartwright, Jensen and Payne for vertex avoiding divisors, and generalize
loc.cit. for divisors of rank one in the sense that, for the metric graph,
there could be at most three edges (instead of two) between any pair of
adjacent vertices.
