求极限 lim(n无穷)n【(根号（n^2+1)-根号（n^2-1)】

求lim(n→无穷)(根号（n+1）-根号n)*根号n 的极限 求极限 lim(n无穷)n【(根号（n^2+1)-根号（n^2-1)】 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) 求极限lim(n→无穷) (三次根号下n^2)*sin /(n+1) 求极限~lim n[e-(1+1/n)^n] n->无穷lim n[e-(1+1/n)^n] n->无穷 lim(secTT/n)^n2求极限n趋于无穷 求极限lim { [n^(1/n)-1] * n / In n} n->无穷 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 求极限：lim(x→无穷)(2^n-7^n)/(2^n+7^n-1)=? 求极限 lim(n+1/n+2)^n.n趋向无穷 求lim(n->无穷)(3n+5)/(n^2+n+4)^1/2的极限 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((2n∧2-3n+1)/n+1)×sin n趋于无穷 求极限 lim n[ e^2- (1+1/n)^2n] n->无穷