{[(n+1)^(n+1)]/(n+1)!}*[n!/(n^n)]=?请高手赐教,最好写出步骤,

n^(n+1/n)/(n+1/n)^n 2^n/n*(n+1) (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! 证明不等式：(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n 根号（n+1)+n n.(n-1). (n+2)!/(n+1)! 判断 当n>1时,n*n*n>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 9题 = 101 (n+1)!- = n*n!n(n+1)!- n*n! 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 证明[n/(n+1)]^(n+1)