Chapter 5.1, Problem 6E

Use the three-point centered-difference formula for the second derivative to approximate ${f^{\prime }}^{\prime }\left(0\right)$, where $f\left(x\right)=\cos x$, for

(a) $h=0.1$

(b) $h=0.01$

(c) $h=0.001$ . Find the approximation error.