If f(z) is differentiable at zo then f(z) is
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Since the answers are different, the limit does not exist and f is not differentiable. (23.1b) Using the Cauchy-Riemann equations, show that f(z) = z − ¯z is not differentiable for any z. ... (23.1d) Using the Cauchy-Riemann equations, show that f(x + iy) = exe−iy is not differen- tiable for any z.
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