Let f: C be defined by f(z) M that 2²/2, if Z+0; if z=0 0. } Show the real and the Cauchy - Riemann equations at not exist. imaginary parts of f satist (0,0), but f'(0) does

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.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 61E
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Let f: C be defined
f(z)
that
H
the
Show
and
the Cauchy - Riemann cavations
THE
not
exist.
by
27/2, if 240;
if z=0
real
Birg
0.
1
imaginary parts of f
at
Sob
1154
f satisfy
Susq
1
(0, 0), but f'(0) does
T
11
VO
gob nad
gnA
Transcribed Image Text:Let f: C be defined f(z) that H the Show and the Cauchy - Riemann cavations THE not exist. by 27/2, if 240; if z=0 real Birg 0. 1 imaginary parts of f at Sob 1154 f satisfy Susq 1 (0, 0), but f'(0) does T 11 VO gob nad gnA
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