What are the first three nonzero terms of the Maclaurin series for ?

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

Problem

What are the first three nonzero terms of the Maclaurin series for

e^{-x^{2}}

? (a)

1 - x^{2} + \dfrac{x^{4}}{2}

(b)

1 - x^{2} - \dfrac{x^{4}}{2}

(c)

1 + x^{2} - \dfrac{x^{4}}{2}

(d)

1 - x^{2} + \dfrac{x^{4}}{24}