0x66ed0312

Let \(z_0\in \mathbb{C}\). Then for a sequence with fixed imaginary part, the quotient \(\frac{\bar{z}-\bar{z_0}}{z-z_0}\) is 1. But if we fix the real part the quotient is -1. Therefore no unique value for the limit with \(z\to z_0\) exists and the conjugation is not differentiable in \(z_0\).