Which of the following gives the Lagrange remainder when the fourth-degree Maclaurin…

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

Problem

Which of the following gives the Lagrange remainder when the fourth-degree Maclaurin polynomial is used to approximate

e^{x}

x=0.5

? (Here

c

is a number between

0

and

0.5

.) (a)

\dfrac{e^{c}\,(0.5)^{4}}{4!}

(b)

\dfrac{e^{c}\,(0.5)^{5}}{5!}

(c)

\dfrac{e^{0.5}\,(0.5)^{5}}{5!}

(d)

\dfrac{e^{c}\,(0.5)^{5}}{4!}