For with , explain briefly why an improper integral of the related function may be…

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

Problem

For

a_n=\dfrac{\ln n}{n^{2}}

with

n\ge 2

, explain briefly why an improper integral of the related function may be used to study the convergence of

\sum_{n=2}^{\infty} a_n