lim [√(3n+1)-√(3n)] /[√(5n+1)-√(5n)]

lim√[(3n^2)+1]/(7n+1)=? lim [√(3n+1)-√(3n)] /[√(5n+1)-√(5n)] 极限lim(n→∞)√(n^2-3n)/2n+1 等于多少 lim √(n^2-3n)/2n+1 n→0 lim(n+3)(4-n)/(n-1)(3-2n) lim(n^3+n)/(n^4-3n^2+1) lim[(n+3)/(n+1))]^(n-2) 【n无穷大】 lim(2^n+3^n)^1 (n趋向无穷) lim√2n(√(n+3a)-√n)=1求a 用ε-N定义证明lim(n→∞)(√n+1)/(3√n-1)=1/3 lim(n->无限)(√ n)sinn/(n+1) 求1.lim(3n-(3n^2+2n)/(n-1)) 2.lim(8+1/(n+1)) 3.lim根号n(根号(n+1)-根号(n-3)) lim（√n^2＋1＋√n）/^4√n^3＋n-n（n→∞） lim n->无穷大(2^n-1)/(3^n+1) lim[(n-1)/(n+1)]^3n的值为 lim根号n^2+n+1/3n-2 lim根号n^2+n+1/3n-2=? 求lim n→∞ (1+2/n)^n+3