\( f(x)=\left\{\begin{array}{lc}2-\left|x^{2}+5 x+6\right|, & x \neq-2 \\ a^{2}+1, & x=-2\end{ar...

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\( f(x)=\left\{\begin{array}{lc}2-\left|x^{2}+5 x+6\right|, & x \neq-2 \\ a^{2}+1, & x=-2\end{array}\right. \). Then the range of \( a \), so that \( f(x) \) has maxima at \( x=-2 \), is
(A) \( |a| \geq 1 \)
(B) \( |a|1 \)
(C) \( a1 \)
(D) \( a1 \)
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