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2 Let f (z) = (x + y)+ i2xy and g(z) = 2xy +i(yx) for z=x+iy=C. Then, in the complex plane C, (A) f

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2 Let f (z) = (x + y)+ i2xy and g(z) = 2xy +i(yx) for z=x+iy=C. Then, in the complex plane C, (A) f is analytic and g is NOT analytic (B) is NOT analytic and g is analytic (C) neither nor g is analytic (D) both and g are analytic Question Number: 4 00 If an(-2)" is the Laurent series of the function f(=)= n2=-00 a_2 equals Correct: 1 Wrong: 0 (=-2) for C\{2}, then Activate Wing Go to Settings to Let f [0,1] R be given by f(x): = 2x x+(1-2nx) , n = 1,2, Then the sequence (fn) (A) converges uniformly on [0,1] (B) does NOT converge uniformly on [0,1] but has a subsequence that converges uniformly on [0,1] (C) does NOT converge pointwise on [0,1] (D) converges pointwise on [0,1] but does NOT have a subsequence that converges uniformly on [0,1]

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