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3.6.9 Residues
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]:= Residue[1/x, {x, 0}]
Out[1]= 
The residue here is zero.
In[2]:= Residue[1/x^2, {x, 0}]
Out[2]= 
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