Let \( \lim _{x \rightarrow \infty} \frac{f(x)}{x^{2}} \) then find \[ f(x)=\left|\begin{array}{...

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Let \( \lim _{x \rightarrow \infty} \frac{f(x)}{x^{2}} \) then find
\[
f(x)=\left|\begin{array}{ccc}
x(x+1) & x^{2}-1 & x^{2}+5 x+6 \\
1 & 2 & 3 \\
1 & -1 & 1
\end{array}\right|
\]
(a) -1
(b) 0
(c) 1
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