For a function that possesses derivatives of all orders at
MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
For a function f that possesses derivatives of all orders at x=a, which expression equals the coefficient of the (x−a)n term in the degree–n Taylor polynomial for f about x=a?
(a) f(n)(a)
(b) n!f(n)(x)
(c) n!f(n)(a)
(d) f(n)(a)n!