设函数f(x)=e^(x-1) +a/x(1)若函数f(x)在x=1处有极值 且g(x)=f(x)+b在(0,+oo)上有零点 求b的最大值 (2)若f(x)在[1,2]上的为单调函数,求实数a的取值范围 (3)在(1)的条件下 数列{an}中a1=1 an+1=f(an)-f'(an) 求|a
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![设函数f(x)=e^(x-1) +a/x(1)若函数f(x)在x=1处有极值 且g(x)=f(x)+b在(0,+oo)上有零点 求b的最大值 (2)若f(x)在[1,2]上的为单调函数,求实数a的取值范围 (3)在(1)的条件下 数列{an}中a1=1 an+1=f(an)-f'(an) 求|a](/uploads/image/z/15077845-37-5.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3De%5E%28x-1%29+%2Ba%2Fx%281%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+%E4%B8%94g%28x%29%3Df%28x%29%2Bb%E5%9C%A8%280%EF%BC%8C%2Boo%29%E4%B8%8A%E6%9C%89%E9%9B%B6%E7%82%B9+%E6%B1%82b%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC+%282%29%E8%8B%A5f%28x%29%E5%9C%A8%5B1%EF%BC%8C2%5D%E4%B8%8A%E7%9A%84%E4%B8%BA%E5%8D%95%E8%B0%83%E5%87%BD%E6%95%B0%EF%BC%8C%E6%B1%82%E5%AE%9E%E6%95%B0a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4+%283%29%E5%9C%A8%281%29%E7%9A%84%E6%9D%A1%E4%BB%B6%E4%B8%8B+%E6%95%B0%E5%88%97%7Ban%7D%E4%B8%ADa1%3D1+an%2B1%3Df%28an%29-f%27%28an%29+%E6%B1%82%7Ca)
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