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f(z)={x6+y2x3y(yix)0forz=0forz=0 Show that even though [f(z)f(0)]/z0 as z0 for any straight line through the origin, f(z) is nevertheless not complex differentiable at z=0

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f(z)={x6+y2x3y(yix)0forz=0forz=0 Show that even though [f(z)f(0)]/z0 as z0 for any straight line through the origin, f(z) is nevertheless not complex differentiable at z=0

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