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The function f(x) = (4-x^(2))/(4x-x^(3))...

The function `f(x) = (4-x^(2))/(4x-x^(3))` is

A

discontinuous at only one point

B

discontinuous exactly at two point

C

discontinuous exactly at three point

D

None of these

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Knowledge Check

  • For what values of x the function f(x)= x^(4)-4x^(3)+4x^(2)+40 is monotonically increasing ?

    A
    `0 lt x lt 1`
    B
    `1 lt x lt 2`
    C
    `2 lt x lt 3`
    D
    `4 lt x lt 5`

  • For what values of x the function f(x)=x^(4)-4x^(3)+4x^(2)+40 is monotonic decreasing?

    A
    `0lt x lt 1`
    B
    `1 lt xlt2`
    C
    `2 lt x lt3`
    D
    `4 lt x lt 5`

  • The function f(x) = 3x^(4) + 4x^(3) – 12x^(2) – 7 is

    A
    `uarr` in `[-2,0]` & `[1,oo)`
    B
    `darr` in `(-oo, -2]` & `[0,1]`
    C
    `darr` in `[-2,0]` & `[1,oo)`
    D
    `darr` in `(-oo, -2]` & `[0,1]`

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