lim x趋向于无穷(1-1/n)^n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 lim(n/(n^2+1)+...+n/(n^2+n))x趋向于无穷 求解答过程~ lim x趋向于无穷(1-1/n)^n的极限 lim根号n*（(a的n分之一次方）-1）,x趋向于无穷, lim x趋向于无穷 (2^n+1+3^n+1)/(2^n+3^n)= lim(n趋向于正无穷)(x^n-1)/(x^n+1)=?, 当x趋向于正无穷,求lim{（根号((n^2)+1)）/(n+1)}^n的极限 求lim(n趋向于正无穷)(x^n)/n! 证明(n趋向于无穷）lim n的根号n次方=1 lim （n趋向无穷）（x/1+x)x次方 lim(x趋向于正无穷）[（a1^1/x+a2^1/x+.+an^1/x)/n]^x的值 求lim n趋向于无穷 n(n^1/n -1)/ln n lim根号n*n+n除以n+1=?（档n趋向于无穷） lim n趋向于无穷 n[(（n+1）/n)^n-e] 求极限过程,求救:x趋向于无穷,lim(1/n^2+2/n^2+……+n/n^2) lim(n趋向于无穷)(x-a)sin(1/a-x) lim(2^n+3^n)^1 (n趋向无穷) 求极限:Lim(1+1/n-1/n^2)^n n趋向于正无穷