Which of the following equals the Maclaurin series for truncated after the term?

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Which of the following equals the Maclaurin series for cos⁡x\cos x truncated after the x4x^{4} term? (a) 1+x22!+x44!1+\dfrac{x^{2}}{2!}+\dfrac{x^{4}}{4!} (b) 1−x22+x441-\dfrac{x^{2}}{2}+\dfrac{x^{4}}{4} (c) 1−x22!+x44!1-\dfrac{x^{2}}{2!}+\dfrac{x^{4}}{4!} (d) 1−x22!+x33!−x44!1-\dfrac{x^{2}}{2!}+\dfrac{x^{3}}{3!}-\dfrac{x^{4}}{4!}

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