Loyal Chakma posted an Question
October 12, 2020 • 16:05 pm 30 points
  • IIT JAM
  • Mathematics (MA)

(i) define analytic function. prove thatz does not exist anywhere. (ii) prove that if f(z) is analytic at a point zo then it is continuous at the same point zo.

(i) Define analytic function. Prove thatz does not exist anywhere. (ii) Prove that if f(z) is analytic at a point Zo then it is continuous at the same point zo. Is the converse true? Justify your answer. Show that the function f{z) = xy +iy is everywhere continuous but not analytic. (iv)

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