Prove that the function (z*)2 Iz| > 0 0, z = 0 f (z) = is...

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Prove that the function (z*)2 Iz| > 0 0, z = 0 f (z) = is not analytic at z = 0 by calculating all directional derivatives of the function at related point. Prove that the function (z*)2 Iz| > 0 0, z = 0 f (z) = is not analytic at z = 0 by calculating all directional derivatives of the function at related point.