HW #04
Due: 02/13/2019
1. Obtain the first non-zero 3 terms of the Taylor series and state the convergence range for
f(z) = z

1 − z
    about     z = −1.
2. Explain

1 − 1 + 1− 1+ 1− 1+ … = 1

2
using analytic continuation.


3. Prove that
sin(2 (x + i y)) = 2 sin (x + i y)  cos (x + i y).



File translated from TEX by TTH, version 4.03.
On 06 Feb 2019, 15:40.