Exercise 1.  Evaluate

1 (a).  .

Solution 1 (a).

See text and/or instructor's solution manual.

Answer   .  

Solution.   By Theorem 4.12 we can compute the sum of this geometric series:

                        

We are done.   

Aside.  We can let Mathematica double check our work.

                    A few of the partial sums  ,  and the limit point  .

This solution is complements of the authors.

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