1/4+1/5+1/6+.+1/(n+3) < 1/2

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? [3n(n+1)+n(n+1)(2n+1)]/6+n(n+2)化简 证明不等式：(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n 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)+·· lim 9^n+4^n+2/5^n-3^2n-1 n趋于无穷大时 化简：1/(n+1)(n+2)+1/(n+2)(n+3)+1/(n+3)(n+4) (n+1)(n+2)/1 +(n+2)(n+3)/1 +(n+3)(n+4)/1 M=(N-1)×1+(N-2)×2+(N-3)×4+(N-4)×8+(N-5)×16+(N-6)×32+(N-7)×64 证明(1+2/n)^n>5-2/n（n属于N+,n>=3) 用夹逼准则和重要极限两种方法计算极限lim(2^n+3^n+4^n+5^n+6^n)^(1/n)n趋近于... 一道数列求和题1/2n+3/4n+5/8n+...+（2n-1）/n*2^n 2^n/n*(n+1)