Write the fifth-degree Maclaurin polynomial for and use it to obtain an approximation…

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

Problem

Write the fifth-degree Maclaurin polynomial for

\arctan x

and use it to obtain an approximation for

\pi

by evaluating at

x=1

and multiplying the result by

4

. Give your answer to three decimal places.