lim(1-1/n^2)^n=?

lim(1-1/n)^(n^2)=? lim(1-1/n^2)^n=? lim (2n-1)/(2^n)=?n=>无穷大 lim n->∞{2/((1+ 1/n )^n)}=? 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 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[1+(1/n)]^n=e,则lim[(n+1)/n]^(2n+1)的值等于?e^2 lim[1+(1/n)]^n=e,则lim[n+(1/n)]^(2n+1)的值等于?e^2 lim(n+2)(n-1)/3n^2+2n+1= n趋近于无穷 lim(n+3)(4-n)/(n-1)(3-2n) lim[(n+3)/(n+1))]^(n-2) 【n无穷大】 lim(2^n+3^n)^1 (n趋向无穷) lim(n^3+n)/(n^4-3n^2+1) lim(n)^1/n=1证明 lim((1+(-1)^n)/n)=