3/2*5/4*7/6*9/8*...2n+1/2n>根号n+1

3/2*5/4*7/6*9/8*...2n+1/2n>根号下n+1?怎么证明? 根号（1×2×3+2×4×6+…+n×2n×3n)÷根号（1×5××10+2×10×20+…+n×5n×10n)=? 极限1/(n*根号n)*(1+根号2+根号3+.+根号n) n趋于无穷大 化简:根号下1*5*10+2*10*20+n*5n*10n分之1*2*3+2*4*6+n*2n*3n M=(N-1)×1+(N-2)×2+(N-3)×4+(N-4)×8+(N-5)×16+(N-6)×32+(N-7)×64 已知888个连续正整数之和:n+(n+1)+(n+2)+(n+3)+(n+4)+(n+5)+(n+6)+(n+7)+·· Sn=n(n+2)(n+4)的分项等于1/6[n(n+2)(n+4)(n+5)-(n-1)n(n+2)(n+4)]吗? lim 9^n+4^n+2/5^n-3^2n-1 n趋于无穷大时 证明不等式：(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n 若M=根号n+4 - 根号n+3 N=根号n+2 - 根号n+1 则M与N的大小关系 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)