1. Find the Laurent expansions of the following functions of z around z = 0: (i) (z- 3)-1 (ii) (z - a) k (a E C, k = 1, 2, 3, ... ) (iii) 1/(z(1 - z)) (iv) 1/ ((z - a)(z - b)) (a, b, E C) (v) zel/z (vi) exp(z + 1/z) (vii) cos(1/z)