Let be a nonzero constant

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

Problem

Let

k

be a nonzero constant. Which expression is the second-degree Taylor polynomial centered at

x=0

for

\ln(1+kx)

? (a)

kx+\dfrac{k^{2}x^{2}}{2}

(b)

kx-\dfrac{k^{2}x^{2}}{2}

(c)

1+kx-\dfrac{k^{2}x^{2}}{2}

(d)

kx-k^{2}x^{2}