Exercise 1.  Find the following limits.  

1 (a).  . 

Solution 1 (a).

See text and/or instructor's solution manual.

Answer.  .

Solution.  This requires substitution of    in the quadratic  .

          

We are done.   

Aside.  We can let Mathematica double check our work.

                    The mapping  ,  as  ,  the image point  ,

                    and we see that   limit   .  

This solution is complements of the authors.

(c) 2008 John H. Mathews, Russell W. Howell