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Let ƒ : (0,1) R be the function defined as ƒ(x) = n if x n 1 , 1 n 1 where n N . Let g : (0,1) R be a function such that x x 2 t t 1 dt < g(x) < x 2 for all x (0,1). Then 0 x lim ƒ(x )g(x)
- does NOT exist
- is equal to 1
- is equal to 2
- is equal to 3
Correct answer: is equal to 2
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