Do these parts and answers are attached 4. Find the isolates singularities of the following functions, and determine whether they areremovable, poles or essential.8) =² sin (-).h)i)23 – 25 4. a) Poles at z = ±i.b) Poles at z = i2kn, k € Z.c) Removable singularity at z = 0.d) Removable singularity at z = 0.e) Essential singul arity at z = 2.f) Pole at z = 1.g) Essential singularity at z = 0.h) Poles at z = e*(#/4+k#/2), k = 0, 1, 2, 3.i) Poles at z = 0, ±1.

Given functions are g z2sin1zhz41+z4i1z3-z5

Answered: 4. Find the isolates singularities of…

4. Find the isolates singularities of the following functions, and determine whether they are removable, poles or essential. 8) :² sin (-). i) 23 – 25

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.6: Derivatives Of Trigonometric Functions

Problem 7E: Find the derivatives of the functions defined as follows. y=tan8x

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Question

Do these parts and answers are attached

4. Find the isolates singularities of the following functions, and determine whether they are
removable, poles or essential.
8) =² sin (-).
h)
i)
23 – 25

4. a) Poles at z = ±i.
b) Poles at z = i2kn, k € Z.
c) Removable singularity at z = 0.
d) Removable singularity at z = 0.
e) Essential singul arity at z = 2.
f) Pole at z = 1.
g) Essential singularity at z = 0.
h) Poles at z = e*(#/4+k#/2), k = 0, 1, 2, 3.
i) Poles at z = 0, ±1.

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