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If $f(x)=|x-2|, x \in[0,4]$ then the Rolle's theorem cannot be applied to the
function because
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function because
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Verified Answer
The correct answer is:
The function is not differentiable at every point in the $(0,4)$.
Here $f(0)=|0-2|=-2$ and $f(4)=|4-2|=2$
Thus $\mathrm{f}(4) \neq \mathrm{f}(0)$
Hence Rolle's Theorem cannot be applied.
Thus $\mathrm{f}(4) \neq \mathrm{f}(0)$
Hence Rolle's Theorem cannot be applied.
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