Let z=C. Investigate the existence of complex limits: 2 2 Z Z lim 0 Z 2 — L= (z*) ² − z² = − [z² − (z*)²]=−[(z−z*) (z+z*)]= − (2x)(2iy) = − 4ixy M=z=x+iy

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
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Let z=C. Investigate the existence of complex limits:
2
2
Z
Z
lim
0
Z
2
—
L= (z*) ² − z² = − [z² − (z*)²]=−[(z−z*) (z+z*)]= − (2x)(2iy) = − 4ixy
M=z=x+iy
Transcribed Image Text:Let z=C. Investigate the existence of complex limits: 2 2 Z Z lim 0 Z 2 — L= (z*) ² − z² = − [z² − (z*)²]=−[(z−z*) (z+z*)]= − (2x)(2iy) = − 4ixy M=z=x+iy
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