  In this paper, the possible values of commutativity degree of Lie algebras
are determined. Also, we define the asymptotic commutativity degree of Lie
algebras and obtain the asymptotic commutativity degree for some of them.
Moreover, we prove the existence of a family of Lie algebras such that the
asymptotic commutativity degree is equal to 1\qk for all q greater than 2 and a
positive integer k.
