Let `f:R in R` be a continuous function such that f(1)=2. If `lim_(x to 1) int-(2)^(f(x)) (2t)/(x

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Let `f:R in R` be a continuous function such that f(1)=2. If `lim_(x to 1) int-(2)^(f(x)) (2t)/(x-1)dt=4`, then the value of f'(1) is
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