8 0. Differentiability and the Cauchy-Riemann Equations
0.8. Define / : C -»• C by
z\2sin(l/\z\)
(z^O),
!{Z)
= ' 0 (z = 0).
Show that / is complex-differentiable at the origin although the partial
derivative ux is not continuous at the origin. (Here u is the real part of / ,
as above.)
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