Determines the convergence or divergence of the following successions. If converge, find the limit:

1) a_{n} = {(-1)^{n} (n / n + 1)}

2) b_{n} = {10n^{2 }+ 3n + 7 / 2n^{2} - 6}

3) c_{n} = {ln (n^{3}) / 2n}

4) d_{n} = {5^{n} / 3^{n}}

5) e_{n} = {(n + 1)! / n!}

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