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

Let `f: R rarr R` be a continuously differentiable function such that `f(2)=6` and `f'(2)=(1)/(48)`. If `int_(@)^(f(x)) 4t^(3)dt=(x-2)g(x)`, then `lim_(xrarr2) g(x)` is equal to :

A

`18`

B

`24`

C

`12`

D

`36`

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The correct Answer is:
B
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