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Verify Rolle's theorem for the following...

Verify Rolle's theorem for the following
`f(x) = x^(3) -3x + 3 " in " 0 le x le 1`

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The correct Answer is:
`1pm(1)/(sqrt3)`
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FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -ADDITIONAL QUESTIONS SOLVED
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  12. underset (x rarr infty) lim(log x^(x))/(x)

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  13. underset(x rarr0)lim x^(2)log e^(x)

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  14. Evaluate underset(x rarr 1)(lim) x^((1)/(x-1))

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  15. underset (xrarr0)lim (cos x) ^(x)

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