A First Course in Complex Analysis · Problem 7.5.25

Taylor and Laurent Series — Beck, Marchesi, Pixton & Sabalka

Mathematics — Complex Analysis · power-series-radius-of-convergence

Problem

Find a power series (and determine its radius of convergence) for the following functions. (a)

\dfrac{1}{1+4z}

(b)

\dfrac{1}{3 - \frac{z}{2}}

(c)

\dfrac{z^2}{(4-z)^2}