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sin z z³(2-2) (2.1) Let f(2)= (2.1.1) Using known Maclaurin series, find the Laurent series expansion of f(z) about the singularity z = 0 and state the region in which it is valid. (2.1.2) Classify the singularity z = 0. (2.1.3) Find the residue of f at z = 0.

sin z z³(2-2) (2.1) Let f(2)= (2.1.1) Using known Maclaurin series, find the Laurent series expansion of f(z) about the singularity z = 0 and state the region in which it is valid. (2.1.2) Classify the singularity z = 0. (2.1.3) Find the residue of f at z = 0.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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QUESTION 2 sin z 2³(2-2) (2.1) Let f(2)= (2.1.1) Using known Maclaurin series, find the Laurent series expansion of f(z) about the singularity z = 0 and state the region in which it is valid. (2.1.2) Classify the singularity z = 0. ate (2.1.3) Find the residue of f at z = 0.
Transcribed Image Text:QUESTION 2 sin z 2³(2-2) (2.1) Let f(2)= (2.1.1) Using known Maclaurin series, find the Laurent series expansion of f(z) about the singularity z = 0 and state the region in which it is valid. (2.1.2) Classify the singularity z = 0. ate (2.1.3) Find the residue of f at z = 0.
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