A fifth-degree Maclaurin polynomial is used to approximate

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

Problem

\sin x

. If the input is doubled from

x=0.4

x=0.8

, which statement best describes the effect on the maximum possible error estimated by the Lagrange bound? (a) The error increases by a factor of

8

. (b) The error increases by a factor of

32

. (c) The error increases by a factor of

64

. (d) The error increases by a factor of

4