1. Let f(2)= 2³ sin(1/2) (z + 1)² (a) Find and classify the zeros of f. (b) Determine and classify the singularities of f as removable, a pole, or an essential singularity. (c) Determine the residue at each singularity.
1. Let f(2)= 2³ sin(1/2) (z + 1)² (a) Find and classify the zeros of f. (b) Determine and classify the singularities of f as removable, a pole, or an essential singularity. (c) Determine the residue at each singularity.
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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Transcribed Image Text:1. Let f(2)=
2³ sin(1/2)
(z + 1)²
(a) Find and classify the zeros of f.
(b) Determine and classify the singularities of f as removable, a pole, or
an essential singularity.
(c) Determine the residue at each singularity.
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