Ex 5.8, 2 - Chapter 5 Class 12 Continuity and Differentiability - Part 2

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Question 2 Examine if Rolle’s theorem is applicable to the functions. Can you say some thing about the converse of Rolle’s theorem from this function? (𝑖𝑖) 𝑓 (π‘₯) = [π‘₯] π‘“π‘œπ‘Ÿ π‘₯ ∈ [βˆ’2, 2]Greatest Integer less than equal to π‘₯ 𝑓 (π‘₯) =[π‘₯] is not continuous & differentiable β‡’ Condition of Rolle’s Theorem is not satisfied. Therefore, Rolle’s Theorem is not applicable .

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