JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        Let\[f(x)=|x|+|x-1|,\]then

    A) \[f(x)\]is continuous at\[x=0\]as well as at\[x=1\]

    B) \[f(x)\]is continuous at\[x=0,\]but not at\[x=1\]

    C) \[f(x)\]is continuous at\[x=1,\]but not at\[x=0\]

    D)  None of the above

    Correct Answer: A

    Solution :

                    Since,\[|x|\]and\[|x-1|\]both are continuous functions, therefore\[f(x)\]is also continuous function.


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