JEE Main & Advanced Mathematics Functions Question Bank Continuity

  • question_answer
    If \[f(x)=|x-b|,\]then function                                          [AI CBSE 1984]

    A)            Is continuous at \[x=1\]

    B)            Is continuous at \[x=b\]

    C)            Is discontinuous at\[x=b\]

    D)            None of these

    Correct Answer: B

    Solution :

               Obviously \[\underset{x\to b}{\mathop{\lim }}\,\,f(x)=f(b)=0\].


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