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Find the points at which the function f(...

Find the points at which the function f(x) = [x] is not continuous in (-1, 4), where [x] is the largest integer function.

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The correct Answer is:
{0, 1, 2, 3}
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Knowledge Check

  • If f(x)=[x](sin kx)^(p) is continuous for real x, then (where [.] represents the greatest integer function)

    A
    `k in [npi, n in I], p gt 0`
    B
    `k in {2npi, n in I}, p gt0`
    C
    `k in {npi, n in I}, p in R-{0}`
    D
    `k in {npi, n I, n ne 0}, p in R-{0}`

  • Find the Range of function f(x) = [|sin x| + |cosx |] , where [.] denotes are greatest integer function , is :

    A
    {0}
    B
    `{0,1}`
    C
    `{1}`
    D
    None

  • The range of the function f(x)=(sin(pi|x+1|))/(x^(4)+1) (where [.] is the greatest integer function) is

    A
    `[0, 1]`
    B
    `[-1, 1]`
    C
    `{0}`
    D
    None of these

    • Similar Questions

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    Function f(x)={x-1,x =2 is a continuous function

    The range of the function f(x)=sgn(x-[x])+1 is (where [.] is the greatest integer function)

    Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

    The domain of the function f(x)=([x+3]-x)/([x-5](x-[x])) is (where [ ] is the greatest integer function

    The set of all point for which f(x) = (|x-3|)/(|x-2|) + 1/[1+x] is continuous is (where [*] represents greatest integer function)

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