Share

Books Shortlist

# 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

ConceptMaximum and Minimum Values of a Function in a Closed Interval

#### 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?

#### APPEARS IN

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.
S