根号下n(n+1)(n+2)(n+3)+1 的化简怎样化简 根号下n(n+1)(n+2)(n+3)+1

根号下n(n+1)(n+2)(n+3)+1 的化简怎样化简 根号下n(n+1)(n+2)(n+3)+1 化简：根号下n(n+1)(n+2)(n+3)+1 怎样化简根号下n(n+1)(n+2)(n+3) 根号下n(n+2)+1= n为自然数 求limn->无穷1/n(根号下1/n+根号下2/n+.+根号下n/n） 极限1/(n*根号n)*(1+根号2+根号3+.+根号n) n趋于无穷大 证明不等式：(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n 根号（n+1)+n lim(n趋向无穷大）(根号下（n+3）-根号下n）*根号下（n-1）= lim根号n^2+n+1/3n-2 lim根号n^2+n+1/3n-2=? 1、lim n->无穷 根号[(n^4+n+1)-n^2]*(3n+4) 求极限 n趋向于无穷 lim（(根号下n^2+1)/(n+1)）^n 求极限lim(n趋向于无穷）(n+1)(根号下(n^2+1)-n) 证明lim(n→∞){n-根号下n^2-n}=1/2 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)) ：n为正整数,求证,n!的1/n次≤根号下1/6(n+1)(3n^2-n+1) 证明 若n为正整数 则根号n+1 -根号n ＞根号n+3 -根号n+2成立