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QUESTION 1 Consider the complex functions f (z) below. Select all functions that are differentiable at z = 1. Of ( z ) = e

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QUESTION 1 Consider the complex functions f (z) below. Select all functions that are differentiable at z = 1. Of ( z ) = e ? / 23 Of ( z ) = 1212QUESTION 2 Are any of the complex functions in question 1 holomorphic at z = 1? O Yes O NoQUESTION 3 Consider the complex functions below. Select the functions that are entire. O 22 f ( z) = 1+ z2 + z4 Of (z) = 1 +z- +z4 O sin (e?) f ( z) = 1+z Of (z) = cos (z?)QUESTION 4 1 (zlei)' Consider the function f (z) = Which of the following is true for this function? Tick all that apply. O f(z) is holomorphic in the open disk D(i/2;1). O f(Z) is holomorphic in the open disk D(i/2;1/3). O f(z) is holomorphic in the open disk D(0;1)

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