HW #05
Due: 02/20/2019
1.
Expand
f
(
z
) =
1
1 − cos
z
about
z
= 0,
by the Laurent series (obtain the first 3 terms) in 0 < 
z
 < π/2.
2.
Evaluate the following complex integral.
I
=
⌠
⌡

z
−
i
 = 2
e
^{z}
z
(
z
^{2}
+ 2)
d
z
.
Write down the real part and the imaginary part separately.
File translated from T
_{E}
X by
T
_{T}
H
, version 4.03.
On 13 Feb 2019, 10:54.