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computing residues


I would like to compute residues of analytical function, but Mathematica's built-in function Residue produces extremely strange results. E.g.

Residue[1/Sin[z], {z, w}]

gives 0, I expected it produce some conditional expression, or at least to leave this expression unevaluated, but 0 is surely incorrect. 
What I am doing wrong?
__________ -- óçåë ñâîáîäíûõ êîììóíèêàöèé.

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