2. Consider the functions f(z) = Re(z) and g(z) = |z|². (a) By arguing straight from the definition of complex differentiability (Definition 2.7.3), show that neither f nor g is complex differentiable at z = 1. (b) Using the Cauchy Riemann equations, show that f is not complex differentiable at any z € C, and g is not complex differentiable at any z EC except z = 0.

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