Calculus 8th Edition

a) $\lim\limits_{n \to \infty} a_{n}$ = $\lim\limits_{n \to \infty} \frac{2n}{3n+1} = \frac{2}{3}$ ; Convergent . b) $\lim\limits_{n \to \infty} a_{n} = \frac{2}{3}$ ; the series $\Sigma a_{n}$ diverges.