sin(7rz) Consider the function f (z) : W. 2: z e (a) Find all singularities and identify their types. For poles, determine the order. (b) Compute the residues of f(z) at z = 1, 1 and 2. sin(7rz) el/z (c) Compute the residue of g(z) : at z 2 0. [You may express your result as an innite sum.]