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【简答题】
设函数 f(x)= 1 3 x 3 +n x 2 +( n 2 -1)x+ 11 12 n 的导函数在区间[n,+∞)上的最小值为a n (n∈N * ) (1)求a n ; (2)设 b n = 1 a n 2 ,求数列b n ]的前n项的和S n .
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