  In this paper, we study the notion of approximately bi at Banach algebras for
second dual Banach algebras and semigroup algebras. We show that for a locally
compact group G, if S(G)?? is approximately bi at, then G is amenable group.
Also we give some conditions which the second dual of a Triangular Banach
algebra is never approximately bi at. For a uniformly locally finite semigroup
S, we show that `1(S) is approximately bi at if and only if `1(S) is bi at.
