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Let f(z) be the function defined by f(z) = Z if z = 0, if z = 0. 1. Use the e, & definition to show that f is continuous at z = 0. 2. Are the Cauchy-Riemann equations satisfied at z = 0?

Let f(z) be the function defined by f(z) = Z if z = 0, if z = 0. 1. Use the e, & definition to show that f is continuous at z = 0. 2. Are the Cauchy-Riemann equations satisfied at z = 0?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f(z) be the function defined by Z|2| if z 0, 2 Ỗ if z = 0. 0 f(z) = 1. Use the e, & definition to show that f is continuous at z = 0. 2. Are the Cauchy-Riemann equations satisfied at z = 0?
Transcribed Image Text:Let f(z) be the function defined by Z|2| if z 0, 2 Ỗ if z = 0. 0 f(z) = 1. Use the e, & definition to show that f is continuous at z = 0. 2. Are the Cauchy-Riemann equations satisfied at z = 0?
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