For each of the following sequences, determine the convergence or divergence. If the sequence converges, find it's limit:

1) {$\displaystyle {a_n}$} $\displaystyle = $ {$\displaystyle {1+\frac{(-1)^n}{n}}$}

2) {$\displaystyle {a_n}$} $\displaystyle = $ {$\displaystyle {\frac{3n^{-1} - 5n^{2}}{2n(7n-9n^{-2})}}$}

Thanks!