如题用数学归纳法证明:1/n+1/(1+n)+1/(n+2) +.1/n^2>1(n∈N且n>1)所以当n=k+1时,有:1/n+1/(n+1)+...+1/k^2+1/(k^2+1)+1/(k^2+2)+...+1/(k^2+2k+1)>1+1/(k^2+1)+1/(k^2+2)+1/(k^2+2k+1)这步错了 应当从1/(n+1)开始加应当>1+1/(k^2+1)

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