Let \( f(x)=\left\{\begin{array}{ll}\frac{a(1-x \sin x)+b \cos x+5}...

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Let \( f(x)=\left\{\begin{array}{ll}\frac{a(1-x \sin x)+b \cos x+5}{x^{2}}, & x0 \\ 3, & x=0, \\ \left\{1+\left(\frac{P(x)}{x^{2}}\right)\right\}^{1 / x}, & x0\end{array}\right. \)
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where \( P(x) \) is a cubic function and \( f \) is continuous at \( x=0 \).
The range of function \( g(x)=3 a \sin x-b \cos x \) is
(1) \( [-10,10] \)
(2) \( [-5,5] \)
(3) \( [-12,12] \)
(4) none of these
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