Mathematics

Problem

A fifth-degree Maclaurin polynomial is used to approximate

\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