lim(n趋于无穷)[Σ(k从1到n)ln(1+k/n)/(n+k/n)]答案是2ln2-1,求过程

lim(n趋于无穷)[Σ(k从1到n)ln(1+k/n)/(n+k/n)]答案是2ln2-1,求过程 由limS2n(n趋于无穷)＝s,lim(S2n＋1)(n趋于无穷)＝s,怎么说明∑(n从1到无穷)Un...由limS2n(n趋于无穷)＝s,lim(S2n＋1)(n趋于无穷)＝s,怎么说明∑(n从1到无穷)Un收敛?明白了70分送上 求极限k^2/(n^3+k^3) n趋于无穷,k=1到n lim( n/n+1)^(n+2) 趋于无穷 lim (1+2/n)^2=?n趋于无穷lim (1+2/n)^2=?n趋于无穷 lim(n趋于正无穷)∑（下面k=1,上面n）(k/n^3)√(n^2-k^2),此题利用定积分求极限, 极限与定积分问题lim当n趋于无穷时,积分从0到1 x^n乘以根号下1加上x^2dx lim(1/n^3+(1+2)/n^3+...+(1+2+...+n)/n^3)n趋于无穷 lim 2n^2+n+1/n^2-2n+1n趋于无穷 lim n趋于无穷时：[ln(n+2)/(n+2)]*[(n+1)/(ln(n+1)]? lim(n趋于无穷)[n(n+1)/2]/n方+3n的极限是多少? n/(n²＋k²)k从一加到n.n趋于无穷求极限 求lim[(2n-1）/（2n+1)]^n,n趋于无穷 求极限：lim((2n∧2-3n+1)/n+1)×sin n趋于无穷 极限题：lim[n*tan(1/n)]^(n^2) (n趋于无穷） lim（n^3＋3^n）^1/n n趋于无穷 当该极限n趋于无穷是 lim (ln(1+n)) / (1+n) Lim(1-3/2n)^4n+5.n趋于无穷,求极限