Exercise 11.  For  [Graphics:Images/ComplexGeometricSeriesModHome_gr_385.gif],   let   [Graphics:Images/ComplexGeometricSeriesModHome_gr_386.gif][Graphics:Images/ComplexGeometricSeriesModHome_gr_387.gif] .

Show that   [Graphics:Images/ComplexGeometricSeriesModHome_gr_388.gif].   

Solution 11.

See text and/or instructor's solution manual.

Solution.   Working with the series notation we obtain  

                    [Graphics:../Images/ComplexGeometricSeriesModHome_gr_389.gif]  

Or if you prefer, we can write  

                     [Graphics:../Images/ComplexGeometricSeriesModHome_gr_390.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This solution is complements of the authors.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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