2.) There are three different regions where the function g(z) = 14z 2x²+5z 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+5z 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.)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Systems Of Equations And Inequalities

Section5.3: Partial Fractions

Problem 12E

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