Q. Which of the following statements is INCORRECT?
A The composite of two continuous functions is also continuous.
B Let f (x + iy) = u (x, y) + iv (x, y). If u and v both have continuous partial derivatives with respect to x and y at point (x0, y0) then f is also differentiable at point (x0, y0).
C If f is analytic at all points interior to and on a simple closed contour C, then ʃ f (z) over C= 0.
D If f is a continuous function defined on domain D, then ʃ f (z) d (z) over (z1, z2), where z1, z2 lie in D, is the same along all contours connecting z1 and z2 and lying entirely in D.
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Correct answer: Let f (x + iy) = u (x, y) + iv (x, y). If u and v both have continuous partial derivatives with respect to x and y at point (x0, y0) then f is also differentiable at point (x0, y0).