Given limx→2f(x)=5\lim_{x \to 2} f(x) = 5limx→2f(x)=5 and limx→2g(x)=3\lim_{x \to 2} g(x) = 3limx→2g(x)=3, evaluate limx→2[f(x)⋅g(x)−2]\lim_{x \to 2} [f(x) \cdot g(x) - 2]limx→2[f(x)⋅g(x)−2].
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