3.6.10 ResiduesLimit[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  .
Residue[expr, {x,  }] | the residue of expr when x equals  |
Computing residues. | The residue here is equal to 1. | |
In[1]:=
Residue[1/x, {x, 0}]
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Out[1]=
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| The residue here is zero. | |
In[2]:=
Residue[1/x^2, {x, 0}]
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Out[2]=
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