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