Exercise 6. Prove
all z. Where
does equality hold?
See text and/or instructor's solution manual.
Solution. Set . We
Since and for real numbers t, is a non-negative increasing function, we have .
We will have equality when iff iff .
Therefore, precisely when , i.e., when z is a real number.
This solution is complements of the authors.
(c) 2008 John H. Mathews, Russell W. Howell