Wunderbar Lim Sup Berechnen Fotos. Since the sequence is bounded, its lim sup and lim inf exist. The liminf and limsup of a sequence are respectively the smallest and greatest cluster points.
Similarly, the sequence (bn) is bounded and decreasing, so it has a limit;
The liminf and limsup of a sequence are respectively the smallest and greatest cluster points. We claim they are equal. Für jede beliebige meine überlegung ist, über die definition vom limsup zu gehen. Then (a) s∗ ∈ e (b) if x > s∗.