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(a) Find all singularities of the function f(z) = sin cos(z-7) (z-37) (z+4i)²¹ and determine the nature of each of these singularities (e.g. removable singularity, pole, essential singularity). Justify all of your steps.

(a) Find all singularities of the function f(z) = sin cos(z-7) (z-37) (z+4i)²¹ and determine the nature of each of these singularities (e.g. removable singularity, pole, essential singularity). Justify all of your steps.

Advanced Engineering Mathematics
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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(a) Find all singularities of the function f(z) = = sin cos(z-7) (z − 3) (z+4i)²¹ and determine the nature of each of these singularities (e.g. removable singularity, pole, essential singularity). Justify all of your steps.
Transcribed Image Text:(a) Find all singularities of the function f(z) = = sin cos(z-7) (z − 3) (z+4i)²¹ and determine the nature of each of these singularities (e.g. removable singularity, pole, essential singularity). Justify all of your steps.
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