Exercise 1.  Find the following limits.

1 (c).  .

Solution 1 (c).

See text and/or instructor's solution manual.

Answer   .

Solution.   The limit of the sequence can be computed as follows:  

                      

The sequence    was studied in calculus and  ,  can be established by using either the comparison test or L'Hôpital's rule.

We are done.   

Aside.  We can let Mathematica double check our work.

                    The graph of   ,   and the limit point   .  

This solution is complements of the authors.

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