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The range of function f(x)=[[x]-x]+sin^(...

The range of function `f(x)=[[x]-x]+sin^(2)x`, where [.] denotes the greatest integer function, is.

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Knowledge Check

  • The function f(x)=[x^(2)]+[-x]^(2) , where [.] denotes the greatest integer function, is

    A
    continuous and derivable at x=2
    B
    neither continuous nor derivable at x=2
    C
    continuous but not dervable at x=2
    D
    none of these

  • The range of the function f(x) =[sinx+cosx] (where [x] denotes the greatest integer function) is f(x) in :

    A
    [-2,1]
    B
    {-2,-1,0,1}
    C
    {-1,1}
    D
    {-2,0,-1}

  • The range of the function f(x)=2+x-[x-3] is, (where [.] denotes greatest integer function):

    A
    `[5,6]`
    B
    `[5,6)`
    C
    `R`
    D
    `I`

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    f(x)= cosec^(-1)[1+sin^(2)x] , where [*] denotes the greatest integer function.

    The function f(x)=[x], where [x] denotes the greatest integer function,is continuous at

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