Find the answer to the following questions. Show all the details of your calculations. (a) Find the residue of f 1
​
(z)= (z−2)(z+1)
sinz
​
at the point z=2. [6] (b) Find the residue of f 2
​
(z)= z(z+1) 3
e z
​
at the point z=−1. [6] (c) Find the residue of f 3
​
(z)= z 2
sinz
1
​
at the point z=0 (Hint : Find the Laurent Series first.) [6]