1 .1+2+3+5+……+（2n-1)＝n^22.1+2+2^2+……+2^n-1=2^n-1 用数学归纳法证明

1+(n+2)+(2n+3)+(3n+4)+(4n+5)+……((n-1)n+n)的答案 lim(1/n+2/n+3/n+4/n+5/n+……+n/n)=lim(1/n)+lim(2/n)+……+lim(n/n)成立吗?（n趋近于无穷大）为什么不成立? (1/(n^2 n 1 ) 2/(n^2 n 2) 3/(n^2 n 3) ……n/(n^2 n n)) 当N越于无穷大的极限(1/(n^2+n+1 ) +2/(n^2+n+2) +3/(n^2+n+3) ……n/(n^2+n+n)) 当N越于无穷大的极限 {[(1+n)(2+n)(3+n)……(n+n)]^(1/n)}/n当趋向正无穷 求其极限 e^(1/n)+e^(2/n)+e^(3/n)+…+e^(n-1/n)+e^(n/n)=? 证明不等式：(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n 证明1/(n+1)+1/(n+2)+1/(n+3)+……+1/(n+n) 求证(2n)!/2^n*n!=1*3*5*……*(2n-1) 设f(n)=1/n+1+1/n+2+1/n+3+……+1/3n(n∈N+),则f(n+1)-f(n)=? 证明:(3^n)*(2^1/n)>(3^n)+(2^1/n)……n属于正整数 lim(1/n^2+4/n^2+7/n^2+…+3n-1/n^2) 请解(n+1)/2n之和( n=1,2,3,4,5…n) VB编程n!+(n+1)!+(n+2)!+(n+3)!+……+(n+m)!要有控件 3(n-1)(n+3)-2(n-5)(n-2) 已知Sn=2+5n+8n^2+…+(3n-1)n^n-1(n∈N*)求Sn 2^n*3^n*5^(n+1)/30^n 证明…3整除n(n+1)(n+2) 用数学归纳法证明（n+1）+(n+2)+……+(n+n)=n(3n+1)/2