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Is this possible? Residue computation leads to complexInfinity?


In[15]:=
\!\(FullSimplify[Residue[\(\[ImaginaryI]\ z\)\/\(1 - \((2 + 4\ a)\)\ z\^2 + 
z\
\^4\), \@\(a + 1\) - \@a], \ a > 0]\)

Out[15]=
\!\(Residue[ComplexInfinity, \(-\@a\) + \@\(1 + a\)]\) 



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