1/n(n+2)=1/2(1/n-1/n+2)怎么证明?

2^n/n*(n+1) 证明不等式：(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n f(x)=e^x-x 求证(1/n)^n+(2/n)^n+...+(n/n)^n 当n为正偶数,求证n/(n-1)+n(n-2)/(n-1)(n-3)+...+n(n-2).2/(n-1)(n-3)...1=n (n+2)!/(n+1)! 2n*1/2^n=n/2^(n-1)? 阶乘(2n-1)!=（2n)!/(2^n*n! 为什么n!/(2!(n-2)!)=n(n-1)/2! 高数题：n趋近于0,lim｛1/（n^2+n+1)+2/(n^2+n+2)+3/(n^2+n+3)+.+n/(n^2+n+n)｝=? 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? 为什么:n×(n+1)=1/3[n(n+1)×(n+2)-(n-1)×n×(n+1)] 为什么n(n+1)(n+2)(n+3)=(n²+3n+2)(n²+3n)? (n+1)^n-(n-1)^n=? n(n+1)/1+(n+1)(n+2)/1+.+(n+2007)(n+2008)/1=? 推导 n*n!=(n+1)!-n! 数列a(n)=n (n+1)(n+2)(n+3),求S(n) n+(n+1)+(n+2)+(n+3)+(n+4)=5n+10这道题怎么解 n(n-1)(n-2)（n-3)（n-4)=154440.求N值 要步骤