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Question

Rolle’s theorem is not applicable in which of the following cases?

$f(x) = x^2 - 4x + 5$ in $[1, 3]$

$f(x) = x^2 - x$ in $[0, 1]$

$f(x) = |x|$ in $[-2, 2]$

$f(x) = [x]$ in $[2.5, 2.7]$

Solution

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