Remark:

Note that the proof actually establishes that $F$ is uniformly continuous. However, this does not need special note in the statement, since any continuous function on a closed bounded interval is uniformly continuous.

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: June 1996