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Solution for Show that the Lagrange'S Mean Value Theorem is Not Applicable to the Function F(X) = 1 X on [−1, 1] ? - CBSE (Commerce) Class 12 - Mathematics

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Question

Show that the lagrange's mean value theorem is not applicable to the function
f(x) = \[\frac{1}{x}\] on [−1, 1] ?

Solution

Given: 

\[f\left( x \right) = \frac{1}{x}\]

Clearly, 

\[f\left( x \right)\] does not exist for x = 0

Thus, the given function is discontinuous on \[\left[ - 1, 1 \right]\] .

Hence, Lagrange's mean value theorem is not applicable for the given function on \[\left[ - 1, 1 \right]\]

  Is there an error in this question or solution?
Solution Show that the Lagrange'S Mean Value Theorem is Not Applicable to the Function F(X) = 1 X on [−1, 1] ? Concept: Maximum and Minimum Values of a Function in a Closed Interval.
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