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residue (1/x, x, -1,5);

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residue ((s+i)/((s-i)...

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residue

Run Example
(%i1)residue ((1-((i*z)**2)/2+((i*z)**4)/24)/z**6, z, 0);
(%o1)                                  0
(%i2) 
Run Example
residue (e^z/z**5,z,0);
                                       4
                                    log (e)
(%o1)                               -------
                                      24
(%i2) 
Run Example
residue (1/(z**2*(z*b-a**2)**1),z,(a**2)/b);
                                      b
(%o1)                                 --
                                       4
                                      a
(%i2) 

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