Question

Explain why Lagrange’s mean value theorem is not applicable to the following functions in the respective intervals:

`f(x) = (x + 1)/x, x ∈ [-1, 2]`

Answer 1

`f(x) = (x + 1)/x`

The function is not continuous at x = 0.

So Lagrange’s mean value theorem is not applicable in the given interval.