1/n+1/(n+1)+1/(n+2)+…+1/n^2>1(n>1且n是整数)证明:(1)当n=2,1/2+1/3+1/4=13/12>1成立(2)假设当n=k时,1/n+1/(n+1)+...+1/n^2>1所以:1/n+1/(n+1)+...+1/k^2>1所以当n=k+1时,有:1/n+1/(n+1)+...+1/k^2+1/(k^2+1)+1/(k...