A twice-differentiable function has a Taylor polynomial centered at that begins…

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

Problem

A twice-differentiable function

g

has a Taylor polynomial centered at

x=1

that begins

P(x)=4+3(x-1)-2(x-1)^2+\dots.

Which of the following statements about

g''(1)

is most strongly supported by this information? (a)

g''(1)=4

(b)

g''(1)=-2

(c)

g''(1)=-4

(d)

g''(1)

cannot be determined from the given information