已知函数f(x)=In(1+x)-x数列{an}满足:a1=1/2In2+Ina(n+1)=a(n+1)*an+f(a(n+1)*an)(n+1)是下标相当与an的n(1)求证IN(X+1)≤x(2)求数列{an}的通项公式(3)求证:a1+a2+a3+……+an(1)求证IN(X+1)≤x
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![已知函数f(x)=In(1+x)-x数列{an}满足:a1=1/2In2+Ina(n+1)=a(n+1)*an+f(a(n+1)*an)(n+1)是下标相当与an的n(1)求证IN(X+1)≤x(2)求数列{an}的通项公式(3)求证:a1+a2+a3+……+an(1)求证IN(X+1)≤x](/uploads/image/z/6084486-54-6.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3DIn%EF%BC%881%2Bx%EF%BC%89-x%E6%95%B0%E5%88%97%EF%BD%9Ban%EF%BD%9D%E6%BB%A1%E8%B6%B3%EF%BC%9Aa1%3D1%2F2In2%2BIna%28n%2B1%29%3Da%28n%2B1%29%2Aan%2Bf%28a%28n%2B1%29%2Aan%29%28n%2B1%29%E6%98%AF%E4%B8%8B%E6%A0%87%E7%9B%B8%E5%BD%93%E4%B8%8Ean%E7%9A%84n%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81IN%28X%2B1%29%E2%89%A4x%EF%BC%882%EF%BC%89%E6%B1%82%E6%95%B0%E5%88%97%EF%BD%9Ban%EF%BD%9D%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F%EF%BC%883%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9Aa1%2Ba2%2Ba3%2B%E2%80%A6%E2%80%A6%2Ban%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81IN%28X%2B1%29%E2%89%A4x)
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