Obtain the laurent series the following functions frac for
Max. Marks: 10
Q 1. Integrate the given function around the given curve traversed in counter-clockwise direction:
for
0 < |z| < 1
$f(z) = \frac{1}{\sin\sin\ z\ \ z\ }$ at $z = \frac{\pi}{4}$
$f(z) = \frac{e^{z}}{z^{2} + 4}$ at z = 2i