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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text: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.)
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