Limit[expr,x->] tells you what the value of expr is when x tends to . When this value is infinite, it is often useful instead to know the residue of expr when x equals . The residue is given by the coefficient of in the power series expansion of expr about the point .
Computing residues.
The residue here is equal to 1.
In[1]:=
Out[1]=
The residue here is zero.
In[2]:=
Out[2]=
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. When this value is infinite, it is often useful instead to know the 
. The residue is given by the coefficient of 
in the power series expansion of 
. 
