Isha Goel posted an Question
January 12, 2020 • 01:36 am 15 points
  • IIT JAM
  • Mathematics (MA)

A function f is defined on interval (0, 1) as follows when x is irrational f(x)=1 when x is rational no.and lcm(p, q) =1, then which one of the follow

A function f is defined on interval (0, 1) as follows when x is irrational f(x)=1 when x is rational no.and lcm(p, q) =1, then which one of the following is true? (A) f is continuous at each irrational point and discontinuous at each rational point. (B) f is continuous at each rational point and discontinuous at each irrational point. (C) f is discontinuous at each rational and irrational points. (D) f is continuous at each rational and irrational points

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    Eduncle best-answer

    Dear Isha,

    Greetings!!

    Refer the attached image for solution.

    Thank you for asking your query.

    maths 1301.JPG
    maths15012020.JPG
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