Let be a function with a Maclaurin series that converges for and has coefficient of

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

Problem

Let

g

be a function with a Maclaurin series that converges for

|x|<R

and has coefficient

c

x^{4}

. Given that

g^{(4)}(0)=60

, which of the following must be true about

c

? (a)

c=\dfrac{60}{4!}

(b)

c=60

(c)

c=\dfrac{60}{4}

(d)

c=\dfrac{60}{3!}