Search results with tag "Limsup"

Basic properties of limsup and liminf 1 Equivalent de nitions

Basic properties of limsup and liminf Horia Cornean1 1 Equivalent de nitions Let fs ng n 1 be a bounded real sequence, i.e. there exists M>0 such that M s n Mfor all n 1. Then the sequence k:= supfs n: n kg=: sup n k s n; k 1 is a decreasing sequence ( k+1

  Basics, Properties, Nition, Basic properties of limsup and liminf, Limsup, Liminf