e2z z(z - 1) Consider the function f(z) f(2) dz where C is the circle |z...

 

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e2z z(z - 1) Consider the function f(z) f(2) dz where C is the circle |z 1] = . (a) One of singular points of f(z) is z = 1. With reference to the power series 1 we are going to evaluate of and e, express f(2) as a power series about z = 1. Use this power 1 series to determine the residue of f(z) at z = 1. [Hint: express the first 3-4 terms will be enough.] e2z z(z - 1) Consider the function f(z) f(2) dz where C is the circle |z 1] = . (a) One of singular points of f(z) is z = 1. With reference to the power series 1 we are going to evaluate of and e, express f(2) as a power series about z = 1. Use this power 1 series to determine the residue of f(z) at z = 1. [Hint: express the first 3-4 terms will be enough.]