证明:(1+1/n-1/n+1)2=1+1/n2+1/(n+1)2
请问如何证明lim(n→∞)[n/(n2+n)+n/(n2+2n)+…+n/(n2+nn)]=1,
怎样证明n2+n,n+1/2,n2+n+1/2是直角三角形
证明:(1+1/n-1/n+1)2=1+1/n2+1/(n+1)2
对(1+2+...+n)(1+1/2+...+1/n)>=n2+n-1的证明
证明(1+2+.+n)*(1+1/2+.+1/n)>=n2+n+1
证明:12+22+32+……+n2=1/6n(n+1)(2n+1)
求极限lim((n+1)/(n2+1)+(n+2)/(n2+2)+...+(n+n)/(n2+n)),n趋近无穷
证明不等式:(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n
大一求极限lim(n/(n2+1)+n/(n2+2^2)+……+n/(n2+n2))
1.求lim[1/(n2+n+1)+2/(n2+n+2)+.+n/(n2+n+n)][n趋于无穷][n2为n的平方]
证明1/n+1/(n+1)+1/(n+2) +……+1/n2>1
求 证Lim ( n/ n2+1) + (n/ n2+2) +( n/ n2+3).+(n/n2+n)当n趋向无穷时的极