Let be a function with Maclaurin series and define by

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

Problem

Let

g

be a function with Maclaurin series

g(x)=1-2x+3x^{2}+\cdots

and define

f

f(x)=e^{x}g(x)

. Determine

f^{(2)}(0)