Question: f ( z ) = { ? b a r ( z ) 3 , z 0 z 2 ? , z = 0 Show

f(z)={?bar(z)3,z0z2?,z=0
Show that
(a)f(z) is continuous everywhere on C.
(b)f'(0) does not exist, that is,f(z) is not differentiable at the point z=0.
f ( z ) = { ? b a r ( z ) 3 , z 0 z 2 ? , z = 0

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