For each of the following functions f. say what type of point a is. 2 . . f(=) = O a is a regular point of f O a is a removable singularity of f Oa is a simple pole of f O a is a double pole of f O a is an essential singularity of f . f(z) = exp(z) a=1 O a is a regular point of f O a is a removable singularity of f O a is a simple pole of f Oa is a double pole of f O a is an essential singularity of f f(z) = tan(z) a=0 a=0 a is a regular point of f a is a removable singularity of f O a is a simple pole of f O a is a double pole of f a is an essential singularity of f

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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For each of the following functions f. say what type of point a is.
.
ƒ(=)
O a is a regular point of f
O a is a removable singularity of f
O a is a simple pole of f
O a is a double pole of f
O a is an essential singularity of f
.
a=1
f(2)= exp(z) a=0
O a is a regular point of f
a is a removable singularity of f
O a is a simple pole of f
O a is a double pole of f
O a is an essential singularity of f
f(z) =
tan(z)
a=0
O a is a regular point of f
O a is a removable singularity of f
O a is a simple pole of f
O a is a double pole of f
O a is an essential singularity of f
Transcribed Image Text:For each of the following functions f. say what type of point a is. . ƒ(=) O a is a regular point of f O a is a removable singularity of f O a is a simple pole of f O a is a double pole of f O a is an essential singularity of f . a=1 f(2)= exp(z) a=0 O a is a regular point of f a is a removable singularity of f O a is a simple pole of f O a is a double pole of f O a is an essential singularity of f f(z) = tan(z) a=0 O a is a regular point of f O a is a removable singularity of f O a is a simple pole of f O a is a double pole of f O a is an essential singularity of f
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