For a function that is infinitely differentiable at

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

For a function

f

that is infinitely differentiable at

x=0

, its Maclaurin series can be written as

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

. State

a_k

in terms of the

k

-th derivative of

f

evaluated at

0