Solved: In 29 and 30, expand the given function in the Taylor series centered at the

Chapter 19, Problem 29

(choose chapter or problem)

In Problems 29 and 30, expand the given function in the Taylor series centered at the indicated points. Give the radius of convergence of each series. Sketch the region within which both series converge.

\(f(z)=\frac{1}{2+z}, z_{0}=-1, z_{0}=i\)

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