Let f be a transcendental meromorphic function and let LI be a wandering do
main of f. Under some conditions, we prove that a finite limit function of
{f(n)} on U is in the derived set of the forward orbit of the set sing (f(-
1)) of singularities of the inverse function of f. The existence of {n(k)}
such that f(nk)\u tends to infinity is also considered when f is entire. If
sing(f(-1)) is bounded, however, we show that {f(n)(z)}(n=0)(infinity) in
F(f) does not tend to infinity.