Let . Decide whether converges or diverges, and justify your…

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

Problem

Let

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

. Decide whether

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

converges or diverges, and justify your conclusion.