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In each of the choices given below, a function and an interval are given. The correct choice having a function and the associated interval for which the Lagrange's mean value theorem is not valid is
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The correct answer is:
$\frac{2 x-1}{3 x-4}:[1,2]$
Let $f(x)=\frac{2 x-1}{3 x-4},[1,2]$
Since, $f(x)$ is not defined at $x=\frac{4}{3} \in[1,2]$
So, Lagrange's theorem is not applicable on $f(x)$ on $[1,2]$
Since, $f(x)$ is not defined at $x=\frac{4}{3} \in[1,2]$
So, Lagrange's theorem is not applicable on $f(x)$ on $[1,2]$
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