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AP® Calculus AB-BC

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Moderate

Approximation Using Taylor Polynomial

APCALC-6XHZND

What is the approximation of the value of $\cos { 2 } $ obtained by using a fourth-degree Taylor polynomial about $x=0$ for $\cos { x } $?

A

$1-\cfrac { 1 }{ 2 } +\cfrac { 1 }{ 24 } $

B

$1-\cfrac { 1 }{ 2 } +\cfrac { 1 }{ 4 } $

C

$1-2+\cfrac { 2 }{ 3 } $

D

$1-2-\cfrac { 2 }{ 3 } $