For the series determine the smallest integer such that the absolute error of the…

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

Problem

For the series

\displaystyle \sum_{n=1}^{\infty} (-1)^{n-1}\dfrac{1}{n},

determine the smallest integer

N

such that the absolute error of the

N

-term partial sum is less than

10^{-3}