A First Course in Complex Analysis · Problem 7.5.28

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

Mathematics — Complex Analysis · power-series-centered-at-one

Problem

Find the power series centered at

1

and compute its radius of convergence for each of the following functions: (a)

f(z) = \dfrac{1}{z}

(b)

f(z) = \operatorname{Log}(z)