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
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