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provide solution for RD Sharma maths class 12 chapter Mean Value Theoram exercise 14.2 question 3

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Hint: Check the continuity of function

Given: f(x)=\frac{1}{x} \text { on }[-1,1]


f(x)=\frac{1}{x} \text { on }[-1,1]

It is clear x\neq 0          

\Rightarrow  f (x) exists for all the values of x except 0

\Rightarrow  f (x) is the discontinuous at x = 0

So, f (x) is not continuous in [-1, 1]

Thus, the Lagrange’s mean value theorem is not applicable for the function: 

            f(x)=\frac{1}{x} \text { on }[-1,1]



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