lim根号n^2+n+1/3n-2

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根号n^2+n+1/3n-2 lim根号n^2+n+1/3n-2=? lim(根号(n平方+2n)-根号(n平方-1)) 1、lim n->无穷 根号[(n^4+n+1)-n^2]*(3n+4) lim（n→∞) 根号n+2-根号n+1/根号n+1-根号n lim （n→+∞)(根号(n+2)-2*(根号n+1)+根号n) lim（n→∞) 根号n+2(根号n+1-根号n-1) lim(n→∞)(根号n+2-根号n)*根号n-1=? 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) 求极限 lim(n无穷)n【(根号（n^2+1)-根号（n^2-1)】 lim(1/n+根号1+1/n+根号2+.+1/n+根号n)=?(n趋近于无穷大） lim (n!+(n-1)!+(n-2)!+(N-3)!+⋯..+2!+1)/n!其中n→∞ 根式怎么有理化!lim(根号(n^2+n)-n) 证明lim(n→∞){n-根号下n^2-n}=1/2