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Since f x x sin x and g x 16x3 applying L Hospital s Rule gives us the following f x lim x a g

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Since f x x sin x and g x 16x3 applying L Hospital s Rule gives us the following f x lim x a g x lim x 0 f x lim x a g x x 2 cos x 1 4x4 lim x sin x x 0 16x Analyzing this we see that as x 0 x sin x and 16x

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