n/n+1与n-1/n比较大小

Question

n/n+1与n-1/n比较大小

Answer 1

(n/n+1) -(n-1/n)=1/n(n+1)=(1/n)-1/(n+1)>0
无论n不为0时有(1/n)-1/(n+1)>0
n/n+1>n-1/n