Determine whether the series converges or diverges. $\backslash [\backslash$sum$\_\{$n$=1\}^\{\backslash$infty$\}\backslash$frac$\{9\}\{\backslash$sqrt$\{$n$^\{2\}+2\}\}\backslash ]$ The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent $\backslash ($ p $\backslash )-$series is greater than $0.$ The series diverges by the Limit Comparison Test. Each term is greater than that of the divergent $\backslash ($ p $\backslash )-$series. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than $0.$