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1/2^2+1/3^2+.+1/n^2>1/(2*3)+1/(3*4)+…+1/[n*(n+1)] 1/(2*3)+1/(3*4)+…+1/[n*(n+1)] =1/2-1/3+1/3-1/4+…+1/n-1/(n+1) =1/2-1/(n+1) 1/2^2+1/3^2+.+1/n^2
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