JCECE Engineering JCECE Engineering Solved Paper-2012

  • question_answer
    \[f(x)=1+[\cos x]x,\]in\[0<x\le \frac{\pi }{2}\]

    A)  has a minimum value

    B)  has a maximum value\[2\]

    C)  is continuous in\[\left[ 0,\,\,\frac{\pi }{2} \right]\]

    D)  is not differentiable at\[x=\frac{\pi }{2}\]

    Correct Answer: C

    Solution :

    Since,\[f(x)=1\]in\[0<x<\frac{\pi }{2}\](as\[[\cos x]=0\]) \[\therefore \,\,f(x)\]is continuous in\[\left[ 0,\,\,\frac{\pi }{2} \right]\].


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