In the general Taylor polynomial P_n(x)= _ k=0 ^ n c_k(x-a)^k

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

Problem

In the general Taylor polynomial Pn(x)=∑k=0nck(x−a)k,P_n(x)=\sum_{k=0}^{n}c_k(x-a)^k, what does the integer nn represent? (a) nn is the total number of terms in the polynomial Pn(x)P_n(x). (b) nn is the highest exponent of (x−a)(x-a) that appears in the polynomial. (c) nn is the number of nonzero coefficients ckc_k. (d) nn is the value of the center aa.

Related theory

Browse the problem library