[Date Prev][Date Next][Thread Prev][Thread Next][Date Index][Thread Index]

infinity & set membership


Hi all,

"The least upper bound of a set of real numbers is often called the
supremum, the greatest lower bound its infimum. In general the supremum and
infimum of a set ARE MEMBERS OF THE SET or at least LIMITS OF SEQUENCES OF
MEMBERS OF THE SET."

[capitalization is mine]

In this case the suprenum is infinity.

Introduction to Calculus and Analysis
Courant and John
Vol. 1, pp. 97, Section e.
1965 Edition
Library of Congress: 65-16403

                                                    Jim Choate
                                                    CyberTects
                                                    [email protected]