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Let ƒ : ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ π π − 2 , 2 → R be a differentiable function such that ƒ(0) = 2 1 . If the 1 e dt ) t ƒ( x lim 2 x x 0 0 x − ∫ → = α , then 8 α 2 is equal to :

1. 1
2. 16
3. 4
4. 2

Correct answer: 2

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