The functionf(z) = lzl2 is continuous throughout the entire complex plane. Show
Chapter 17, Problem 40(choose chapter or problem)
The functionf(z) = lzl2 is continuous throughout the entire complex plane. Show, however, thatfis differentiable only at the point z = 0. [Hint: Use (3) and consider two cases: z = 0 and z * 0. In the second case let dz approach zero along a line parallel to the x-axis and then let dz approach zero along a line parallel to the y-axis.]
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