已知f(x)=(bx+1)/(ax+1)^2(x≠-1/a,a>0),且f(1)=16为底2的对数,f(-2)=1.(1)求函数f(x)的表达式;(2)已知数列{xn}的项满足xn=[1-f(1)][1-f(2)]…[1-f(n)],试求x1,x2,x3,x4;(3)猜想{xn}的通项公式,并用数学归纳
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![已知f(x)=(bx+1)/(ax+1)^2(x≠-1/a,a>0),且f(1)=16为底2的对数,f(-2)=1.(1)求函数f(x)的表达式;(2)已知数列{xn}的项满足xn=[1-f(1)][1-f(2)]…[1-f(n)],试求x1,x2,x3,x4;(3)猜想{xn}的通项公式,并用数学归纳](/uploads/image/z/8314967-47-7.jpg?t=%E5%B7%B2%E7%9F%A5f%28x%29%3D%28bx%2B1%29%2F%28ax%2B1%29%5E2%28x%E2%89%A0-1%2Fa%2Ca%3E0%29%2C%E4%B8%94f%281%29%3D16%E4%B8%BA%E5%BA%952%E7%9A%84%E5%AF%B9%E6%95%B0%2Cf%28-2%29%3D1.%EF%BC%881%EF%BC%89%E6%B1%82%E5%87%BD%E6%95%B0f%28x%29%E7%9A%84%E8%A1%A8%E8%BE%BE%E5%BC%8F%EF%BC%9B%EF%BC%882%EF%BC%89%E5%B7%B2%E7%9F%A5%E6%95%B0%E5%88%97%7Bxn%7D%E7%9A%84%E9%A1%B9%E6%BB%A1%E8%B6%B3xn%3D%5B1-f%281%29%5D%5B1-f%282%29%5D%E2%80%A6%5B1-f%28n%29%5D%2C%E8%AF%95%E6%B1%82x1%2Cx2%2Cx3%2Cx4%EF%BC%9B%EF%BC%883%EF%BC%89%E7%8C%9C%E6%83%B3%7Bxn%7D%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F%2C%E5%B9%B6%E7%94%A8%E6%95%B0%E5%AD%A6%E5%BD%92%E7%BA%B3)
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