$\text { Determine the values of } x \text { for which the function } f ( x ) = \sin x \text { can be replaced by the }$

Multiple Choice

$\text { Determine the values of } x \text { for which the function } f ( x ) = \sin x \text { can be replaced by the }$ Taylor polynomial $f ( x ) = \sin x \approx x - \frac { x ^ { 3 } } { 3 ! }$ if the error cannot exceed $0.008$ . Round your answer to four decimal places.

A) $- 0.9919 < x < 0.9919$
B) $- 1.9838 < x < 1.9838$
C) $- 0.2480 < x < 0.2480$
D) $- 1.9919 < x < 1.9919$
E) $- 0.4960 < x < 0.4960$