Resposta 12

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Designemos por $L$ o valor do limite. Como a sucessão converge, $\lim a_n = \lim a_{n+1}$ e portanto $$\lim a_{n+1}= \lim \left(\frac{1}{2}a_n+4\right) \Leftrightarrow L=\frac{1}{2}L+4 \Leftrightarrow L=8.$$ Logo a sucessão converge para $8$.

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