A series has positive terms and satisfies

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

Problem

A series has positive terms

a_n

and satisfies

\displaystyle\lim_{n\to\infty}\left|\frac{a_{n+1}}{a_n}\right|=L>1

. In one sentence, explain why this series must diverge.