30.1. Show that z = 0 is a removable singularity of the following functions. Furthermore, define f(0) such that these functions are analytic at z = 0. (a). f(z) = 2 sin z- z 1-12² - cos z (b). f(z) = (c). f(z) = sin 22
30.1. Show that z = 0 is a removable singularity of the following functions. Furthermore, define f(0) such that these functions are analytic at z = 0. (a). f(z) = 2 sin z- z 1-12² - cos z (b). f(z) = (c). f(z) = sin 22
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Transcribed Image Text:30.1. Show that z = 0 is a removable singularity of the following
functions. Furthermore, define f(0) such that these functions are analytic
at z = 0.
(a). f(z) =
2
sin z- z
1-12² - cos z
(b). f(z) =
(c). f(z) =
sin 22
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