Is ((z^2+2z+2)^(1/2))/(z^2-4z+3) an analytic function in |z|>2 and |z|<2 using cauchy riemann equation?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Is ((z^2+2z+2)^(1/2))/(z^2-4z+3) an analytic function in |z|>2 and |z|<2 using cauchy riemann equation?

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