e) e=/(==2),

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Just do part e

4. Find the isolates singularities of the following functions, and determine whether they are
removable, poles or essential.
1- cos z
d)
▪ ().
a)
g) ² sin
1+2² '
e
b)
e) e=/(z-2),
h)
z(1 – e-=)'
sin z
c)
f)
i)
(z – 1)3 '
Transcribed Image Text:4. Find the isolates singularities of the following functions, and determine whether they are removable, poles or essential. 1- cos z d) ▪ (). a) g) ² sin 1+2² ' e b) e) e=/(z-2), h) z(1 – e-=)' sin z c) f) i) (z – 1)3 '
n=0
4. a) Poles at z = ±i.
b) Poles at z = i2kT, k E Z.
c) Removable singularity at z = 0.
d) Removable singularity at z = 0.
e) Essential singularity at z = 2.
%3D
Transcribed Image Text:n=0 4. a) Poles at z = ±i. b) Poles at z = i2kT, k E Z. c) Removable singularity at z = 0. d) Removable singularity at z = 0. e) Essential singularity at z = 2. %3D
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