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(Solved): Problem 3 (4 points each) Find the residues of the following functions at their singular points: (a ...



Problem 3 (4 points each) Find the residues of the following functions at their singular points: (a) \( \frac{1}{z^{2}+1} \)
Problem 3 (4 points each) Find the residues of the following functions at their singular points: (a) (b) (c)


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Answer:--(a). The singular points of the function f(z) = 1/(z^2 + 1) are the points where the denominator is equal to zero. These are z = i and z = -i
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