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$$\lim_{x \rightarrow 0}\left[\frac{12^x - 3^x - 4^x + 1}{1 - \cos 2x}\right] =$$
$$\frac{1}{2} \log 7$$
$$\frac{\log 3}{\log 2}$$
$$\log 3 . \log 2$$
$$\frac{1}{2} \log 12$$
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