  We discuss the behaviour at infinity of $n$-times integrated semigroups with
nonquasianalytic growth and invertible generator. The results obtained extend
in this setting a theorem of O. El Mennaoui on stability of bounded once
integrated semigroups, and (partially) a theorem of Q. P. V$\tilde{\rm u}$ on
stability of $C_0$-semigroups.
