A positive-term series has general term satisfying

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

Problem

A positive-term series has general term

a_n

satisfying

\displaystyle \lim_{n\to\infty} n^{5/4} a_n = 9

. What can you conclude about the convergence of

\displaystyle \sum_{n=1}^{\infty} a_n