Problem

\( \lim _{n \rightarrow 2} \frac{n^{2}+2 n-8}{2 n^{2}-3 n-2} \)

Answer

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Answer

\( \lim _{n \rightarrow 2} \frac{n+4}{2n+1} \)

Steps

Step 1 ：\( \lim _{n \rightarrow 2} \frac{n^{2}+2 n-8}{2 n^{2}-3 n-2} \)

Step 2 ：\( \lim _{n \rightarrow 2} \frac{(n-2)(n+4)}{(2n+1)(n-2)} \)

Step 3 ：\( \lim _{n \rightarrow 2} \frac{n+4}{2n+1} \)

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