lim 4n^2+2/3n^2+1 (n→oo)lim (√（n+1）- √（n）) (n→oo)lim √x+△x - √x / △x (△x→0)lim 1+2+…+n / n^2 (n→oo)

lim(n+3)(4-n)/(n-1)(3-2n) lim(n^3+n)/(n^4-3n^2+1) lim[(4+7+...+3n+1)/(n^2-n)]= 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+3)/(n+1))]^(n-2) 【n无穷大】 lim(2^n+3^n)^1 (n趋向无穷) lim(1/n^2+4/n^2+7/n^2+…+3n-1/n^2) lim n趋向无穷大3n^3+n^2-3/4n^3+2n+1 求lim(n+1)(n+2)(n+3)/(n^4+n^2+1) 一道极限题,lim[n^2(2n+1)]/(n^3+n+4)n->∞ 1、lim n->无穷 根号[(n^4+n+1)-n^2]*(3n+4) lim (n!+(n-1)!+(n-2)!+(N-3)!+⋯..+2!+1)/n!其中n→∞ lim根号n^2+n+1/3n-2 lim根号n^2+n+1/3n-2=? lim n->无穷大(2^n-1)/(3^n+1) lim (1+2/n)^n+4 n-->无穷大 求极限 求lim n→∞ (1+2/n)^n+3 lim(n→∞)[1-(2n/n+3)]