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5. Given examples of f, g and h satisfying the following properties: f (z) is continuous at z = 0 but not differentiable at z = 0, • g(z) satisfies Cauchy-Riemann equations at z = 0 but not differentiable at z = 0, • h(z) is differentiable at z = 0 but not analytic at z = 0. To get the full credit, you should verify that your example satisfies the given properties.

5. Given examples of f, g and h satisfying the following properties: f (z) is continuous at z = 0 but not differentiable at z = 0, • g(z) satisfies Cauchy-Riemann equations at z = 0 but not differentiable at z = 0, • h(z) is differentiable at z = 0 but not analytic at z = 0. To get the full credit, you should verify that your example satisfies the given properties.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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5. Given examples of f, g and h satisfying the following properties: f (z) is continuous at z = 0 but not differentiable at z = 0, • g(z) satisfies Cauchy-Riemann equations at z = 0 but not differentiable at z = 0, • h(z) is differentiable at z = 0 but not analytic at z = 0. To get the full credit, you should verify that your example satisfies the given properties.
Transcribed Image Text:5. Given examples of f, g and h satisfying the following properties: f (z) is continuous at z = 0 but not differentiable at z = 0, • g(z) satisfies Cauchy-Riemann equations at z = 0 but not differentiable at z = 0, • h(z) is differentiable at z = 0 but not analytic at z = 0. To get the full credit, you should verify that your example satisfies the given properties.
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