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Let f : R → R be a differentiable function such that 2 4 f = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π , 0 4 f = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π and 1 2 ' f = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π and let dt )) t ( f t sec t tan t sec ) t ( ' f ( ) x ( g 4 x ∫ π + = for ⎟ ⎠ ⎞ ⎢ ⎣ ⎡ π π ∈ 2 , 4 x . Then ) x ( g lim 2 x − ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π → is equal to

1. 2
2. 3
3. 4
4. –3

Correct answer: 3

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