Determine the least integer for which the remainder after terms of the series is…

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

Problem

Determine the least integer

N

for which the remainder after

N

terms of the series

\displaystyle\sum_{k=1}^{\infty}\frac{\ln k}{k^{3}}

is guaranteed to be less than

0.001