A second-degree Maclaurin polynomial is used to approximate at

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

A second-degree Maclaurin polynomial

x-\dfrac{x^{2}}{2}

is used to approximate

\ln(1+x)

x=0.2

. Which of the two common error bounds gives the smaller numerical estimate of the remainder, and what is that estimate rounded to

5\times10^{-4}

? Provide your answer in the form “bound type, numerical value.”