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If \(f:R \rightarrow R\) is a differentiable function \(f(1) =4.\) Then, the value of \(\lim\limits_{x\to 1} \int^{f(x)}_4 \frac{2t}{x-1}dt\) is
(a) 8f'(1)
(b) 4f'(1)
(c) 2f' (1)
(d) f'(1)
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