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JEE Main & Advanced Mathematics Limits, Continuity and Differentiability Question Bank Mock Test - Continuity and Differentiability

  • question_answer
    A point where function \[f(x)=[sin[x]]\] is not continuous in \[(0,2\pi )\], [.] denotes the greatest integer \[\le x\], is

    A) (3, 0)    

    B) (2, 0)

    C) (1, 0)    

    D) none of these

    Correct Answer: D

    Solution :

    [d] For \[0\le x<1,f(x)=[sin0]=0,\] \[1\le x<2,f(x)=[sin1]=0,\] \[2\le x<3,f(x)=[sin2]=0,\] \[3\le x<4,f(x)=[sin3]=0,\] \[4\le x<5,f(x)=[sin4]=-1,\] Hence, there is discontinuity at point \[\left( 4,-1 \right)\]


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