Let . Which of the following is the Maclaurin polynomial of degree for…

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

Problem

Let

h(x)=(1+x)e^{x^{2}}

. Which of the following is the Maclaurin polynomial of degree

4

for

h(x)

? (a)

1+2x+\dfrac{3}{2}x^{2}+\dfrac{2}{3}x^{3}+\dfrac{5}{24}x^{4}

(b)

1+x+x^{2}+x^{3}

(c)

1+x+x^{2}+x^{3}+\dfrac{1}{2}x^{4}

(d)

1+x+x^{2}+x^{3}+\dfrac{3}{2}x^{4}