Find C Of The Lagrange’s Mean Value Theorem For Which

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Find c of the Lagrange’s mean value theorem for which


Correct option is

It is clear that (x) has a definite and unique value of each

x Ïµ [1, 5].  

Thus, every point in the interval [1, 5] the value of f (x) is equal to the limit of f (x)   

So, f (x) is continuous in the interval [1, 5]  

Also,  which clearly exists for all x in open interval (1, 5)  

Hence, (x) is differentiable in (1, 5)  

So, there must be a value c Ïµ (1, 5) such that,  





Clearly  such that Lagrange’s Theorem is satisfied.



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