lim(n^3)/(2*n^2 +1)-(2*n^2)/(4n-1) n趋向于正无穷lim(n^3)/(2*n^2 +1)-(2*n^2)/(4n-1) 谢谢。。。。

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/04 08:24:06
lim(n^3)/(2*n^2 +1)-(2*n^2)/(4n-1) n趋向于正无穷lim(n^3)/(2*n^2 +1)-(2*n^2)/(4n-1)          谢谢。。。。

lim(n^3)/(2*n^2 +1)-(2*n^2)/(4n-1) n趋向于正无穷lim(n^3)/(2*n^2 +1)-(2*n^2)/(4n-1) 谢谢。。。。
lim(n^3)/(2*n^2 +1)-(2*n^2)/(4n-1) n趋向于正无穷
lim(n^3)/(2*n^2 +1)-(2*n^2)/(4n-1) 谢谢。。。。

lim(n^3)/(2*n^2 +1)-(2*n^2)/(4n-1) n趋向于正无穷lim(n^3)/(2*n^2 +1)-(2*n^2)/(4n-1) 谢谢。。。。
lim(n→+∞) n^3/(2n^2+1)-2n^2/(4n-1)
=lim(n→+∞) [n^3(4n-1)-2n^2(2n^2+1)]/[(2n^2+1)(4n-1)
=lim(n→+∞) (-n^3-2n^2)/(12n^3-2n^2+4n-1)
=lim(n→+∞) (-1-2/n)/[12-2/n+4/n^2-1/n^3]
=-1/12

lim(n→+∞) n^3/(2n^2+1)-2n^2/(4n-1)
=lim(n→+∞) [n^3(4n-1)-2n^2(2n^2+1)]/[(2n^2+1)(4n-1)
=lim(n→+∞) (-n^3-2n^2)/(8n^3-2n^2+4n-1)
=lim(n→+∞) (-1-2/n)/[8-2/n+4/n^2-1/n^3]
=-1/8