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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.5: Applications

Problem 27EQ

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Help with (b)

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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