## University Calculus: Early Transcendentals (3rd Edition)

Consider the special case for Taylor’s Theorem as follows: $f(b) =f(a)+f’(c)(b-a)$ Here, $c$ is between $a$ and $b$, so $f(b) =f(a)+f’(c) (b-a)$ and $f(b) -f(a)=f’(c) (b-a)$ Hence, the result has been verified that the Mean Value Theorem is a special case of Taylor’s Theorem.