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Let f(x) = -x^(3) + x^(2) - x + 1 and g(...

Let `f(x) = -x^(3) + x^(2) - x + 1 and g(x) = {{:(min(f(t))",",0 le t le x and 0 le x le 1),(x - 1",",1 lt x le 2):}` Then, the value of `lim_(x rarr 1) g(g(x))`, is........ .

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