(1)计算:+2*2!+3*3!+……+n*n!(2)求证:k/(k+1)!=1/k!-1/(k+1)!(3)求证:1/2!+2/3!+n/(n+1)!...(1)计算:+2*2!+3*3!+……+n*n!(2)求证:k/(k+1)!=1/k!-1/(k+1)!(3)求证:1/2!+2/3!+n/(n+1)!=1-1/(n+1)

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