Mark the correct alternative in the following:
For the function the value of c for the Lagrange’s mean value theorem is
It shows that f(x) is continuous on 1, 3 and derivable on 1, 3.
So, both the conditions of Lagrange’s Theorem are satisfied.
Consequently, there exists c Є 1, 3 such that
Hence,
Є (1, 3) such that
.
Hence, Option (B) is the answer.