Let be a function with Taylor polynomial given by R(x)=2(x-1)^3-9(x-1)^2

MATHEMATICS · Multi-part · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Let

f

be a function with Taylor polynomial given by

R(x)=2(x-1)^3-9(x-1)^2.

Assume this polynomial is of least possible degree and is centered at the appropriate point. (a) Identify the center

x=a

and the degree

n

R

. (b) Compute

R(1.3)

and interpret the result as an approximation to

f(1.3)