求极限 n趋向于无穷 lim((根号下n^2+1)/(n+1))^n
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 02:38:41
![求极限 n趋向于无穷 lim((根号下n^2+1)/(n+1))^n](/uploads/image/z/2700447-15-7.jpg?t=%E6%B1%82%E6%9E%81%E9%99%90+n%E8%B6%8B%E5%90%91%E4%BA%8E%E6%97%A0%E7%A9%B7+lim%EF%BC%88%28%E6%A0%B9%E5%8F%B7%E4%B8%8Bn%5E2%2B1%29%2F%28n%2B1%29%EF%BC%89%5En)
求极限 n趋向于无穷 lim((根号下n^2+1)/(n+1))^n
求极限 n趋向于无穷 lim((根号下n^2+1)/(n+1))^n
求极限 n趋向于无穷 lim((根号下n^2+1)/(n+1))^n
设y=[√(n^2+1)/(n+1)]^n
lny=nln[√(n^2+1)/(n+1)]=n[1/2ln(n^2+1)-ln(n+1)]
lim(n→∞)lny=lim[1/2ln(n^2+1)-ln(n+1)]/n^(-1)
=lim(n→∞)[n/(n^2+1)-(n+1)]/[-n^(-2)](洛必达法则)
=-lim(n→∞)(n-1)n^2/[(n^2+1)(n+1)]
=-1
所以lim(n→∞)y=1/e
lim[(根号下n^2+n)-n],n趋向于无穷,求函数的极限
求极限 n趋向于无穷 lim((根号下n^2+1)/(n+1))^n
求极限lim(n趋向于无穷)(n+1)(根号下(n^2+1)-n)
当x趋向于正无穷,求lim{(根号((n^2)+1))/(n+1)}^n的极限
求极限 lim( √N^2+N )-N X趋向于无穷 求极限
n趋向于无穷lim(根号下(n+1)-根号下n)=
求极限lim√[(n²+n)-n],n趋向于无穷.
求极限:Lim(1+1/n-1/n^2)^n n趋向于正无穷
求极限 lim(n趋向于无穷)2^n/n!
求极限lim n趋向于无穷(1/n)*n次方根下(n+1)(n+2)⋯(n+n)
几个基本极限,同时求证明lim(x趋向于正无穷)[(a^n)/(n!)]=?lim(x趋向于正无穷)[n次根号n]=?a是任意实数
求极限n趋向于无穷 [(√n+2)-(√n+1)]√n Ps:是根号下的(n+2) 根号下的(n+1)
求极限lim n趋向于无穷(1/n)*√(n+1)(n+2)⋯(n+n)
求lim(n趋向于正无穷)(x^n)/n!
求极限例题用两边夹定理求极限n趋向于无穷lim(a^n)/n!
计算数列极限,当N趋向于无穷时,根号下(N^2+4N+5)-(N-1)的极限
判断极限是否存在lim [n+(-1)^n]/n n趋向于无穷 lim |x|/x x趋向于0
求极限过程,求救:x趋向于无穷,lim(1/n^2+2/n^2+……+n/n^2)