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In which of the following function Rolle...

In which of the following function Rolle's theorem is applicable ?

A

`f(x)={{:(x",", 0le lt1),(0",",x=1):}" on [0, 1]"`

B

`f(x)={{:((sinx)/(x)",", -pilexlt0),(0",",x=0):}" on "[-pi,0]`

C

`f(x)=(x^(2)-x-6)/(x-1)" on " [-2, 3]`

D

`f(x)={{:((x^(3)-2x^(2)-5x+6)/(x-1)","," if "x ne1),(-6","," if "x=1):}" on "[-2, 3]`

Text Solution

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The correct Answer is:
D
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