求证lim(1+1/n+1/n2)n =e ( n→∞)
求证lim(1+1/n+1/n2)n =e ( n→∞)
请问如何证明lim(n→∞)[n/(n2+n)+n/(n2+2n)+…+n/(n2+nn)]=1,
大一求极限lim(n/(n2+1)+n/(n2+2^2)+……+n/(n2+n2))
求数列极限lim(n→ ∞) xn,其中xn=n(e(1+1/n)^(-n)-1)
求极限lim((n+1)/(n2+1)+(n+2)/(n2+2)+...+(n+n)/(n2+n)),n趋近无穷
证明两个简单极限1、lim n→∞ n/[(n!)^(1/n)]=e2、an→A 求证:lim n→∞ (a1+2a2+
lim(n→∞) {1+2/n}^kn =e^-3.则k=?
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]
lim(n2+2n+2)/(n+1)-an)=b,求a,b
求极限lim(x→∞)(1/n+2/n+3/n..+n/n)
lim[n/(n^2+1^2)+n/(n2+2^2)+···n/(n^2+n^2)] n->无穷大
求证c(n,1)+2c(n,2)+3c(n,3)+...+nc(n,n)=n2^(n-1)