Answer
The Mean Value Theorem is a special case of Taylor’s Theorem.
Work Step by Step
We need to consider the special case for Taylor’s Theorem.
We have $f(b) =f(a)+f’(c)(b-a)$ ; [$c$ is between $a$ and $b$]
$\implies f(b) =f(a)+f’(c) (b-a)$
$\implies f(b) -f(a)=f’(c) (b-a)$
Thus, we can conclude that the Mean Value Theorem is a special case of Taylor’s Theorem.
