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

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## Question

### Solution

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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