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Plot the following, where [.] denotes in...

Plot the following, where [.] denotes integer function.
`f(x)=[x^(2)]," whe "-2lexle2`

Text Solution

Verified by Experts

The correct Answer is:
Here, `f(x)=[x^(2)]`
`(##ARH_AMA_DIF_CAL_C04_E04_001_A01##)`
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Knowledge Check

  • Let [.] denote the greatest integer function and f(x)=[tan^(2)x] . Then

    A
    `underset(x to 0)lim f(x)` does not exist
    B
    f(x) is continuous at x = 0
    C
    f(x) is not differentiable at x = 0
    D
    `f'(0)=1`.

  • Let [ ] denote the greatest integer function and f(x) = [tan^(2)x] Then

    A
    `lim_(x to 0) f(x)` does not exist
    B
    f(x) is continuous at x = 0
    C
    f(x) is not differentiable at x = 0
    D
    `f'(0)=1`

    • Similar Questions

    Explore conceptually related problems

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    Plot the following, where [.] denotes integer function. f(x)=[sin^(-1)(sinx)]

    Find the period of the functions (where [ * ] denotes greatest integer function) f(x) = sec^(2) x + cosec^(3) x

    Find the period of the functions (where [ * ] denotes greatest integer function) f(x) = 2 + 3 cos (x - 2)

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