For , let . Explain briefly why the sequence of magnitudes is eventually decreasing…

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

Problem

For

n\ge 2

, let

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

. Explain briefly why the sequence of magnitudes

|a_n|

is eventually decreasing as

n

increases.