Lim n-无穷大 n/(n^2+1^2)+n/(n^2+2^2)+.n/(n^2+n^2)

lim[(n+3)/(n+1))]^(n-2) 【n无穷大】 lim (2n-1)/(2^n)=?n=>无穷大 lim n->无穷大(2^n-1)/(3^n+1) lim (1+1/2n)^n n趋向于无穷大 lim (1+2/n)^n+4 n-->无穷大 求极限 Lim n-无穷大 n/(n^2+1^2)+n/(n^2+2^2)+.n/(n^2+n^2) lim n趋于无穷大(1/n^2+3/n^2+.+2n-1/n^2 lim n趋向无穷大3n^3+n^2-3/4n^3+2n+1 求极限lim(n-1)^n/(n-2)^n(n到无穷大） lim√1+1/n^2 n趋向于无穷大 lim[n/(n^2+1^2)+n/(n2+2^2)+···n/(n^2+n^2)] n->无穷大 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, lim （(n^2+1)^(1/2) /(n+1))^n n无穷大 求极限lim n(e^2 –(1+1/n))2^n （n->无穷大） lim(n^2-1)/(3n^2+n)=?n-->无穷大 紧急：求 lim n*sin(π(n^2+2)^0.5）*(-1)^n,n趋向无穷大； lim(n∧2)(x∧(1/n)-x∧(1/(1+n)))n无穷大 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?