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    Cauchy-Riemann Equations

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    6. Let u and v denote the real and imaginary components of the function f defined by the equations
    f(z) = (z^2)/z when z ≠ 0,

    f (z) = 0 when z = 0.

    Verify that the Cauchy-Riemann equations ux = vy and uy = -vx are satisfied at the origin z = (0, 0).

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    Cauchy-Riemann Equations are investigated. The solution is detailed and well presented.