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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,0lexlt1),(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^(3)-5x+6)/(x-1),if x ne1),(-6,ifx=1):}on [-2,3]`

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The correct Answer is:
D
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