Find the least integer such that the absolute error ( S-S_N ) in approximating the…

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

Problem

Find the least integer

N

such that the absolute error

\lvert S-S_N\rvert

in approximating the sum of the alternating harmonic series by its

N

th partial sum is less than

0.001