Mathematics

Problem

Consider the degree-3 Maclaurin polynomial

P_{3}(x)

for

\sin x

. Which of the following is the best numerical upper bound for

|\sin(0.5)-P_{3}(0.5)|

? a)

2.60\times 10^{-3}

9.99\times 10^{-3}

1.25\times 10^{-3}

2.50\times 10^{-3}