The function f (z)
Chapter 17, Problem 40(choose chapter or problem)
The function \(f(z)=|z|^{2}\) is continuous throughout the entire complex plane. Show, however, that f is differentiable only at the point z = 0. [Hint: Use (3) and consider two cases: z = 0 and \(z \neq 0\). In the second case let \(\Delta z\) approach zero along a line parallel to the x-axis and then let \(\Delta z\) approach zero along a line parallel to the y-axis.]
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