Exercise 3. Verify
Equations (5-3) and
See text and/or instructor's solution manual.
prove (5-3) , if
and only if , where n is
Let n be an integer, and set .
Then . Conversely, suppose .
Then . This implies , this means that for some integer n.
Since is always positive and , this means that for some integer n.
And implies and this forces , so .
This establishes Property (5-3) .
Second, prove (5-4) , if and only if , for some integer n.
Property (5-4) comes from observing that iff , and appealing to Property (5-3).
This solution is complements of the authors.
(c) 2008 John H. Mathews, Russell W. Howell