lim(1+1/n)^n+1/2011=n趋向无群大lim(1+1/n)^(n+1/2011)= n趋向无穷大

lim(1-1/n)^(n^2)=? lim(n)^1/n=1证明 lim(1-1/n^2)^n=? lim((1+(-1)^n)/n)= 证明lim(n×sin1/n)=1 lim(n/n+1)^n 等于多少? 定义lim(1+1/n)^n=e,计算lim(1+1/n)^n+5 lim x^n=?(x->1+) lim x^n=?(x->1-)n->无穷 n-> 无穷 lim n->∞{2/((1+ 1/n )^n)}=? lim[nsin(1/n)+1/n(sin n)]= lim (2n-1)/(2^n)=?n=>无穷大 lim根号n^2+n+1/3n-2=? lim(3^2n+5^n)/(1+9^n)=? lim[(4+7+...+3n+1)/(n^2-n)]= lim n--∞ (1+2/n)^n=?如题 求证lim n/(n!)^(1/n)=e lim(1/n+2/n+3/n+4/n+5/n+……+n/n)=lim(1/n)+lim(2/n)+……+lim(n/n)成立吗?（n趋近于无穷大）为什么不成立? lim n->0 (1+3n/1)^3n = ?lim n->0 (1+3n/1)^3n = ?