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  • Please solve RD Sharma class 12 chapter Mean value theorem exercise 14.1 question 10 sub question (i) maths textbook solution

Please solve RD Sharma class 12 chapter Mean value theorem exercise 14.1 question 10 sub question (i) maths textbook solution

Answers (1)

Answer:

The Rolle’s Theorem is not applicable.

Hint:

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

Given:

               f(x)=[x] forx \in[5,9]

Explanation:

Rolle’s Theorem is applicable to functionf:[a, b] \rightarrow R the following three conditions

  1. Function f is continuous in closed interval[a, b]
  2. Function f is differentiable in open interval(a, b)
  3. f(a)=f(b)

f(x)=[x]forx \in[5,9]

The greatest integer function f is neither continuous in closed interval[5,9]nor differentiable in open interval(5,9)

Also       f(5) \neq f(9)

Hence, the Rolle’s Theorem is not applicable tof(x)=[x] forx \in[5,9]

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