Stability properties of the colored Jones polynomial

It is known that the colored Jones polynomial of an A-adequate link has a well-defined tail consisting of stable coefficients, and that the coefficients of the tail carry geometric and topological information of an A-adequate link complement. We use the ribbon graph expansion of the Kauffman bracket to show that a tail of the colored Jones polynomial can be defined for all links, and that it is constant if and only if the link is non A-adequate.