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Deepak Patra posted an Question
October 01, 2021 • 16:46 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Q.2 a function f is defined on an interval la, b]. which of the following statement(s) is/are incorrect? (1) if fla) and f(b) have opposite signs, then there mu

Q.2 A function f is defined on an interval la, b]. Which of the following statement(s) is/are incorrect? (1) If fla) and f(b) have opposite signs, then there must be a point e e (a, b) such that f(c) =0. 2) If f is continuous on a, b], f(a) < 0, and f(6) > 0, then there must be a point cE (a,b) such that fc) = 0. (3) If f is contiuous on (a, 6, and there is a point e in (a, b) such that f(c) = 0. Then f(a) and f(6) have opposite signs. (4) If f has no zeros on (a, b), then fla) and f(6) have the same sign.

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  • Anonymous User Best Answer

    a and b check attachment

    cropped3299198789716157741.jpg
    eduncle-logo-app

    sir how option a is correct .. if the function is discontinuous at c ..????

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