1/N(N+I)+1/(N+1)(N+2)+1/(N+2)(N+3)+.+1/(N+9)(N+10)如何做?

2^n/n*(n+1) 证明不等式：(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n 1+i^n+i^2n+...+i^2000n＝? 计算：1+i^n+i^2n+......+i^2000n(n属于N+) (n+2)!/(n+1)! n^(n+1/n)/(n+1/n)^n n属于r 求1+i^n+i^2n+i^3n [3n(n+1)+n(n+1)(2n+1)]/6+n(n+2)化简 [3n(n+1)+n(n+1)(2n+1)]/6+n(n+2)化简 化简n分之n-1+n分之n-2+n分之n-3+.+n分之1 化简n分之n-1+n分之n-2+n分之n-3+.+n分之1 f(x)=e^x-x 求证(1/n)^n+(2/n)^n+...+(n/n)^n 求n项和数列极限,通式为i/(i+n)就是n->无穷,1/(n+1)+2/(n+2)+3/(n+3)+...+n/2n; (n+1)^n-(n-1)^n=? 化简：(n+1)!/n!-n!/(n-1)! (n-1)*n!+(n-1)!*n 推导 n*n!=(n+1)!-n! 化简(n+1)(n+2)(n+3)