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 =


|zi| = 2 
ez

z (z2 + 2)
d z.
Write down the real part and the imaginary part separately.



File translated from TEX by TTH, version 4.03.
On 13 Feb 2019, 10:54.