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Question

LMVT is applicable for

A
f(x)=|x| in [1,2]
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B
f(x)=lnx in [1,e]
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C
f(x)=x1x in [1,3]
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D
f(x)=x24 in [2,4]
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Solution

The correct option is D f(x)=x24 in [2,4]
|x| is not differentiable at x=0. So, LMVT can't be applied.
All the remaining options satisfy the LMVT conditions.

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