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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]=