3.6.10 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]=