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Let f : R → R be a continuously differentiable function such that f(2) = 6 and f(2) = 1/48. If

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Let f : R → R be a continuously differentiable function such that f(2) = 6 and f(2) = 1/48. If 

∫4t3 dt = (x -2) g(x), x ∈ [6, f(x)] then lim (x→2)g(x) is equal to

(1) 18 (2) 36 (3) 12 (4) 24  

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Correct option   (1) 18

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