Find the radius of convergence. Can you identify the sum as a familiar function in some

Chapter 15, Problem 15.1.127

(choose chapter or problem)

Find the radius of convergence. Can you identify the sum as a familiar function in some of the problems? (Show the details of your work.)

\(\sum_{n=0}^{\infty} \pi^{n}(z-2 i)^{2 n}\)

Text Transcription:

sum_{n = 0}^{infty} pi^{n}(z - 2i)^{2n}