A) \[\left| b \right|\ge 1\]
B) \[\left| b \right|<1\]
C) \[b>1\]
D) \[b<1\]
Correct Answer: A
Solution :
As \[f(x)\]has relative maximum at\[x=-2\]. So \[f(-2)\ge \underset{x\to -2}{\mathop{\lim }}\,f(x)\] \[\Rightarrow {{b}^{2}}+1\ge \underset{x\to -2}{\mathop{\lim }}\,(2-|{{x}^{2}}+5x+6|)\] \[\Rightarrow {{b}^{2}}\ge 1\Rightarrow |b|\,\,\ge 1\]
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