2.) There are three different regions where the function g(z) = 14z 2x²+52-3 can be expanded in a Laurent series centered at 0. Find the Laurent series in all three regions. In which region does the Laurent series coincide with the Taylor series? (HINT: You will definitely want to start out by finding the partial fraction decomposition of g.)

2.) There are three different regions where the function g(z) = 14z 2x²+52-3 can be expanded in a Laurent series centered at 0. Find the Laurent series in all three regions. In which region does the Laurent series coincide with the Taylor series? (HINT: You will definitely want to start out by finding the partial fraction decomposition of g.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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