For a function with Maclaurin series

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

Problem

For a function

f

with Maclaurin series

f(x)=\displaystyle\sum_{k=0}^{\infty}a_k x^{k}

, which of the following expressions always equals

f'''(0)

? (a)

3a_3

(b)

6a_3

(c)

24a_4

(d)

a_3