Nandani posted an Question
April 12, 2022 • 13:06 pm 30 points
  • IIT JAM
  • Mathematics (MA)

For (x, y) er, let 2xy fo, y)= x ;if (x, y) # (0, 0) 0 ;if (x, y) = (0, 0) then, (a)f, and f, exists at (0, 0) and f is continuous at (0, 0) (b) f and f, exists

For (x, y) eR, let 2xy fo, y)= x ;if (x, y) # (0, 0) 0 ;if (x, y) = (0, 0) Then, (a)f, and f, exists at (0, 0) and f is continuous at (0, 0) (b) f and f, exists at (0, 0) and f is discontinuous at (0, 0) (c) f and f, does not exist at (0, 0) and f is continuous at (0, 0) (a) f, and f, exists at (0, 0) and f is discontinuous at (0, 0)

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    Kanika goswami 1 Best Answer

    solve it by choosing any path that tends to 0.check it

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