a) Find the poles and corresponding residues of the function f(z) = b) Consequently, what is...

 

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a) Find the poles and corresponding residues of the function f(z) = b) Consequently, what is 1 (z²+9)(z+1) [d=f(z) where Y is i) the anticlockwise circle, centred at z = 0, of radius four, |z| = 4? ii) the anticlockwise circle, centred at z = 0, of radius two, |z| = 2 -1, what is the radius of convergence c) Expanding f(z) about the point zo = - of the Taylor series? a) Find the poles and corresponding residues of the function f(z) = b) Consequently, what is 1 (z²+9)(z+1) [d=f(z) where Y is i) the anticlockwise circle, centred at z = 0, of radius four, |z| = 4? ii) the anticlockwise circle, centred at z = 0, of radius two, |z| = 2 -1, what is the radius of convergence c) Expanding f(z) about the point zo = - of the Taylor series?