Let f : R to R be a continuously differ...

Let `f : R to R ` be a continuously differentiable function such that `f(2) = 6` and `f'(2) = 1/48`. If `int_(6)^(f(x)) 4t^(3) dt = (x-2) g(x)` than `lim_( x to 2) g(x)` is equal to

A

12

B

18

C

36

D

24

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The correct Answer is:

B

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