1^2+2^2+3^2+.+n^2=1/6n(n+1)(2n+1) 求5^2+10^2+15^2+...+100^2,
证明不等式:(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n
2^n/n*(n+1)
[3n(n+1)+n(n+1)(2n+1)]/6+n(n+2)化简
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?
证明(1+2/n)^n>5-2/n(n属于N+,n>=3)
1\n(n+3)+1\(n+3)(n+6)+1\(n+6)(n+9)=1\2 n+18 n为正整数,求n的值
1 + (n + 1) + n*(n + 1) + n*n + (n + 1) + 1 = 2n^2 + 3n + 3
化简(n+1)(n+2)(n+3)
若n²+3n=1,求n(n+1)(n+2)+1的值.
求极限Xn=n/(n^2+1)+n/(n^2+2)+n/(n^2+3)+……+n/(n^2+n),
lim[n/(n*n+1*1)+n/(n*n+2*2)+...+n/(n*n+n*n)],当x趋向无穷大时,怎么求极限,
阶乘(2n-1)!=(2n)!/(2^n*n!