Find all singularities of the function f(z) = sin cos(z-7) 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.

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Justify all of the steps please

 

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.
Transcribed Image Text: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.
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