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  • Need solution for rd sharma math class 12 chapter Mean value theorem exercise 14.1 question 1 sub question 2

Need solution for rd sharma math class 12 chapter Mean value theorem exercise 14.1 question 1 sub question 2

Answers (1)

Answer:

 Rolle’s Theorem is not applicable.

Hint:

Rolle’s Theorem is applicable to functionf : [a,b] \rightarrow Rthe following three conditions of Rolle’s Theorem is satisfied.

Given:

f (x) = [x] for x \in [-1,1]

Explanation:

We have

f (x) = [x],x \in [-1,1]

The greatest integer function f is neither continuous in close interval[-1,1], nor differentiable in open interval(-1,1).

f (-1)= [-1] = -1 and f (1)= [1] = 1

\therefore f (-1) \neq f (1)

Hence, the Rolle’s Theorem is not applicable to  f (x)= [1] \ x \in (-1,1)

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