Let \( f(x)=\log _{2}\left(x^{2}+5 x\right)-2 \log _{2}(a x+1) \) w... VIDEO
Let \( f(x)=\log _{2}\left(x^{2}+5 x\right)-2 \log _{2}(a x+1) \) where \( a0 \)
P and \( g(x)=\left\{\begin{array}{lll}3\left(\cos ^{2 m} x\right)-1, & x0 \text { and } & m \rightarrow \infty \\ -\sin ^{2 n} x, & x \geq 0 \text { and } & n \rightarrow \infty\end{array}\right. \)
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Which one of the following is true for function \( g(x) \) ?
(a) \( g\left(0^{+}\right) \neq g(0) \)
(b) \( g\left(0^{-}\right)=g(0) \)
(c) \( g\left(0^{-}\right) \neq g\left(0^{+}\right) \)
(d) \( g \) is continuous at \( x=0 \)
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