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-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=? 证明lim(n→∞){n-根号下n^2-n}=1/2 lim(n→∞)(1/根号n^2+1······1/根号n^2+n) lim(根号(n平方+2n)-根号(n平方-1)) lim(n→∞) 2n/［（根号n^2+2n）+n］＝?急 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=? 根式怎么有理化!lim(根号(n^2+n)-n) 极限 lim(n→∞)[(n!)^2/(2n)!]= 求lim n→∞ (1+2/n)^n+3 lim(n→∞)[1-(2n/n+3)] lim(n→∞)(2n-1/n+3) lim(n→∞) (cos x/n)^n^2 lim(n→∞) 2^n/n!=0