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...

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Extracted 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.