6.36.4 The residue of an expression at a point: residue
The residue command finds the residue of an expression at a
point.
-
residue takes three arguments:
-
expr, an expression depending on a variable.
- x, a variable name.
- a, a complex number. This can be combined with the previous
argument in an equality x=a.
- residue(expr,x,a)
returns the residue of expr at the point a.
Example.
Input:
residue(cos(x)/x^3,x,0)
or:
residue(cos(x)/x^3,x=0)
Output: