原式=1/n-n+1/100=(100-100n^2+n)/100n
当n>0时,1/n+n》2,当仅当1/n=n,即n=1时取到2(基本不等式),1/n+n+100》102当n<0时,1/n+n《-2,当仅当-1/n=-n,即n=-1时取到-2,1/n+n+100《98
1/n-1/(n+100)=(n+100)/[n(n+100)]-n/[n(n+100)]=100/[n(n+100)]