4. Calculate lim 5iz, using properties of limits. -3 5. Use the definition of a derivative (see p.55,56) to show that f'
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4. Calculate lim 5iz, using properties of limits. -3 5. Use the definition of a derivative (see p.55,56) to show that f'
4. Calculate lim 5iz, using properties of limits. -3 5. Use the definition of a derivative (see p.55,56) to show that f'(z) = 2z for all z € C, if f(z) = 22 +1. a 6. Let g(z) = 223 (a) Use the Cauchy-Riemann equations to determine where g is differentiable. (b) Is g analytic anywhere? Justify your answer.
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