6.) Show that the function g(z)=sinh (#) has an essential singularity at the origin. Then find all solutions to sinh (#) - = 1. How many of these lie within the unit circle?
6.) Show that the function g(z)=sinh (#) has an essential singularity at the origin. Then find all solutions to sinh (#) - = 1. How many of these lie within the unit circle?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
Question
Transcribed Image Text:6.) Show that the function
g(z)=sinh
(#)
has an essential singularity at the origin. Then find all solutions to
sinh
(#) -
= 1.
How many of these lie within the unit circle?
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