Hello Tutors,

Please help me with the following proof below the image with the information to be used. Thanks!

Information Needed e z + 2 milk disk Let D = B (zo ,r ) where r to means "excluding" H 1 means " hypothesis 1": f is differentiable on D lie. for each z ED, lim f ( w)-f (2) exists W- Z H 2: f is differentiable on E lim, f(z) ( 2-2 ) = 0hm 3 : aunder the "f( z ) dz =0 for every closed curve C in D