设函数f(x)=e^(x-1)+a/x (I) 若函数f(x)在x=1处有极值,且函数g(x)=f(x)+b在(0,+∞)上有零点,求b的最大值;(II)若f(x)在【1,2】单调,求a的取值范围;(III)在(I)的条件下,数列{an}中a1=1,a(n+1)=f(an)-f'(an),求:|
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![设函数f(x)=e^(x-1)+a/x (I) 若函数f(x)在x=1处有极值,且函数g(x)=f(x)+b在(0,+∞)上有零点,求b的最大值;(II)若f(x)在【1,2】单调,求a的取值范围;(III)在(I)的条件下,数列{an}中a1=1,a(n+1)=f(an)-f'(an),求:|](/uploads/image/z/15117764-68-4.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3De%5E%28x-1%29%2Ba%2Fx+%28I%29+%E8%8B%A5%E5%87%BD%E6%95%B0f%28x%29%E5%9C%A8x%3D1%E5%A4%84%E6%9C%89%E6%9E%81%E5%80%BC%2C%E4%B8%94%E5%87%BD%E6%95%B0g%28x%29%3Df%28x%29%2Bb%E5%9C%A8%280%2C%2B%E2%88%9E%EF%BC%89%E4%B8%8A%E6%9C%89%E9%9B%B6%E7%82%B9%2C%E6%B1%82b%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC%EF%BC%9B%28II%29%E8%8B%A5f%28x%29%E5%9C%A8%E3%80%901%2C2%E3%80%91%E5%8D%95%E8%B0%83%2C%E6%B1%82a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%EF%BC%9B%EF%BC%88III%29%E5%9C%A8%EF%BC%88I%29%E7%9A%84%E6%9D%A1%E4%BB%B6%E4%B8%8B%2C%E6%95%B0%E5%88%97%7Ban%7D%E4%B8%ADa1%3D1%2Ca%28n%2B1%29%3Df%28an%29-f%27%28an%29%2C%E6%B1%82%3A%7C)
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