lim n-> inf Xn=n^2/(n+1)-[n^2/(n+1)] 如標題. 求lim n-> inf Xn的值. Xn = n^2/(n+1)-[n^2/(n+1)] 其中[ ]的含義為取整. inf是無窮的意思.

lim n-> inf Xn=n^2/(n+1)-[n^2/(n+1)] 如標題. 求lim n-> inf Xn的值. Xn = n^2/(n+1)-[n^2/(n+1)] 其中[ ]的含義為取整. inf是無窮的意思.

n^2/(n+1)=(n^2-1+1)/(n+1)=n-1+1/(n+1)
所以[n^2/(n+1)]=n-1
Xn=1/(n+1)
limXn=0