急 设函数f(x)=(a/3)x^3-(3/2)x^2+(a+1)x+1设函数f(x)=(a/3)x^3-(3/2)x^2+(a+1)x+1,其中a为实数已知不等式f(x)>x^2-x-a+1对于任意a∈(x,+∞)都成立,求实数x的取值范围
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![急 设函数f(x)=(a/3)x^3-(3/2)x^2+(a+1)x+1设函数f(x)=(a/3)x^3-(3/2)x^2+(a+1)x+1,其中a为实数已知不等式f(x)>x^2-x-a+1对于任意a∈(x,+∞)都成立,求实数x的取值范围](/uploads/image/z/14614146-18-6.jpg?t=%E6%80%A5+%E8%AE%BE%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3D%28a%2F3%29x%5E3-%283%2F2%29x%5E2%2B%28a%2B1%29x%2B1%E8%AE%BE%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3D%28a%2F3%29x%5E3-%283%2F2%29x%5E2%2B%28a%2B1%29x%2B1%2C%E5%85%B6%E4%B8%ADa%E4%B8%BA%E5%AE%9E%E6%95%B0%E5%B7%B2%E7%9F%A5%E4%B8%8D%E7%AD%89%E5%BC%8Ff%EF%BC%88x%EF%BC%89%3Ex%5E2-x-a%2B1%E5%AF%B9%E4%BA%8E%E4%BB%BB%E6%84%8Fa%E2%88%88%EF%BC%88x%2C%2B%E2%88%9E%EF%BC%89%E9%83%BD%E6%88%90%E7%AB%8B%2C%E6%B1%82%E5%AE%9E%E6%95%B0x%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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