当n趋向于无穷时,求n^(1/2)*[n^(1/n)-1]的极限

当n趋向于无穷时,求(n+3*（n^0.5）)^0.5 - (n-n^0.5)^(1/3)的极限 . 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 (n+2)^3/(n+1)^4的极限(当n趋向于无穷) 求极限:当n趋向无穷时,(-1)的n次方除以n=? （2＋（2／3）^1／n)^n,求当n趋向于正无穷的极限 求极限:Lim(1+1/n-1/n^2)^n n趋向于正无穷 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n趋向无穷时 [(1+1/n)(1+2/n)...(1+n/n)]^1/n 的极限? 当n趋向无穷时,1/n^3 + 2^2/n^3 + ...+ (n-1)^2/n^3 的极限怎么求 微积分求极限 n趋向于无穷 (根号(n^4+n+1)-n^2)(3n+4) 为什么是1.5 求极限 n趋向无穷 2^n+1 + 3^n+1/2^n+3^n