Bott-Chern cohomology is a refinement of de Rham cohomology on
complex manifolds. We shall discuss the limit of Bott-Chern cohomology in
terms of hypercohomology for semistable degeneration of complex manifolds.
As an application, we show that nonkahler Calabi-Yau 3-folds obtained by
conifold transition satisfy d d\bar lemma, hence admit a Hodge decomposition.