已知lnx ≤ x-1 求证ln(2^2)/2^2+ln(3^2)/3^2+……ln(n^2)/n^2＜（2n^2-n+1)/2(n+1)

已知lnx ≤ x-1 求证ln(2^2)/2^2+ln(3^2)/3^2+……ln(n^2)/n^2＜（2n^2-n+1)/2(n+1)
已知lnx ≤ x-1 求证ln(2^2)/2^2+ln(3^2)/3^2+……ln(n^2)/n^2＜（2n^2-n+1)/2(n+1)

已知lnx ≤ x-1 求证ln(2^2)/2^2+ln(3^2)/3^2+……ln(n^2)/n^2＜（2n^2-n+1)/2(n+1)
ln(k^2)/k^2

其实，正确的解法是(ln k^2)/k^2 < (K^2-1)/k^2=1-1/k^2<1-(1/k-1/1+k)
后面不赘述！