The identities    and    then yield  

(5-36)            .  

A similar derivation produces  

(5-37)            .  

    If we set in Identity (5-36) and let  ,  we get  

            

As advertised, we have shown that is not a bounded function; it is also evident from Identity (5-37) that is unbounded.

Exploration.

(c) 2006 John H. Mathews, Russell W. Howell