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The largest interval for whichx^(12)+x^9...

The largest interval for which`x^(12)+x^9+x^4-x+1>0` `-4

A

`-4ltxle0`

B

`0ltxlt1`

C

`-100ltxlt100`

D

`-ooltxltoo`

Text Solution

Verified by Experts

The correct Answer is:
(d)
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Knowledge Check

  • The largest interval for which x^(12) - x^(9) + x^(4) - x+1 gt 0 is

    A
    `-4 lt x le 0`
    B
    `0 lt x lt 1`
    C
    `-100 lt x lt 100`
    D
    `-oo lt x lt oo`

  • The largest interval for which the series 1+(x-1)+(x-1)^(2)+….oo may be summed is

    A
    `0 lt x lt 1`
    B
    `0 lt x lt 2`
    C
    `-1 lt x lt 1`
    D
    ` -2 lt x lt 2 `

  • The interval(s) which satisfy x^(10)-x^(7)+x^(4)-x+1 gt0 is (are)

    A
    `-1le x le 0`
    B
    `0 lt x lt 1`
    C
    `x ge 1`
    D
    `-oo lt x lt oo`.

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