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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.

The residue here is zero.