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Question

Rolle's Theorem is not applicable to f(x) = |x| in (-2, 2), because:



Your Answer
A

f(2) ≠ f(-2)

Your Answer
B

is not continuous in [-2, 2]

Your Answer
C

LHL ≠ RHL at x = 0

Correct Answer
D

is not derivable in (-2, 2)


Solution

The correct option is C

is not derivable in (-2, 2)


(x) = | x | is continuous in [-2, 2].

Also (2) = (-2) = 2, but (x) is not derivable in (-2, 2)

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