In the interval 0,2 , on which of the following function Lagrange's mean value theorem is not applicable?

Question

In the interval 0,2 , on which of the following function Lagrange's mean value theorem is not applicable?, f x = sin ⁡ x x x ≠ 0 1 x = 0, f x = 1 - x x 1 1 - x 2 x ≥ 1, f x = x 2 x, f x = e x - 1

MARKS App · Accepted Answer

Note that LMVT is applicable in a , b if f x is continuous in a , b and differentiable in a , b Since f x = 1 - x x 1 1 - x 2 x ≥ 1 is non-differentiable at x = 1 , hence LMVT cannot be applied to it in 0,2

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