Class Contents

Lim sups and Lim infs

Limsups and Liminfs

Let x_n be a sequence of real numbers. There's no reason why lim x_n should exist, but it's often useful in proofs to have limit-type quantities which always do exist.

John, you mention three cases in this next definition, but only provide two cases.

Proof.

Analysis WebNotes by John Lindsay Orr.
Comments to the author: jorr@math.unl.edu

All contents copyright (C) 1996 John L. Orr
University of Nebraska--Lincoln
All rights reserved

Last modified: July 1996