Resposta 7
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7. Para $n$ par, $\displaystyle g_n=\frac{-n+1}{n^3+1}$ e para $n$ ímpar, $\displaystyle g_n=\frac{n+1}{n^3+1}$. Como $\displaystyle \lim \frac{-n+1}{n^3+1} = \lim \frac{n+1}{n^3+1} =0$, resulta que $\lim g_n=0$.