Exercises

Sessions

 

1.      If C is a simple closed curve enclosing , show that  

2.      Find the residue of each of the following functions at

a)  ,

b) 

c) 

d) 

3.  Show that

a) 

b) 

c) 

d) 

e) ,

f) 

g) 

4.  Show that

a)    by applying the Residue Theorem on the function

b)  by applying the Residue Theorem on the function

c)  by applying the Residue Theorem on the function