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]2.求当x趋于0时,lim(tanx-sinx)/(sinx)3[sinx的三次方]3.求x趋于无穷时,lim[(x-1)/(x+1)]x (x为次方)4.求x趋于1时,limX (1/1-x) 【(1/1-x)为X的次方】5.求k

求极限lim(n/(n2+1)+n/(n2+2^2)+……+n/(n2+n2)) 大一求极限lim(n/(n2+1)+n/(n2+2^2)+……+n/(n2+n2))pi/4 求极限lim((n+1)/(n2+1)+(n+2)/(n2+2)+...+(n+n)/(n2+n)),n趋近无穷 求 证Lim ( n/ n2+1) + (n/ n2+2) +( n/ n2+3).+(n/n2+n)当n趋向无穷时的极限为1 求lim【1/(n2+π)+1/(n2+2π)+...+1/(n2+nπ)】(n趋向于正无穷) 计算lim(1/n2+1+2/n2+1+3/n2+1+...+n/n2+1) 求 lim n→∞ n2[(1/n2+1)2+2/(n2+2)2...+n/(n2+n)2]第七题...好心的话帮忙把第6题也解了吧（lim后面是Xn）.被高数虐啊TT 请数学能手来看看这题lim{（1/N2+1)+(2/n2+2)+.+(n/n2+n)}n2是n的平方,n趋向无穷是求极限。。不是求N。。。。。N是不小心打成大写 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]2.求当x趋于0时,lim(tanx-sinx)/(sinx)3[sinx的三次方]3.求x趋于无穷时,lim[(x-1)/(x+1)]x (x为次方)4.求x趋于1时,limX (1/1-x) 【(1/1-x)为X的次方】5.求k 已知lim(a根号下(n2+2n)-bn)=1,求实数a+b lim[n/(n^2+1^2)+n/(n2+2^2)+···n/(n^2+n^2)] n->无穷大 lim（n2+2n+2）/（n+1）-an）=b,求a,bn2是n平方lim（（n平方+2n+2）/（n+1）-an）=b 求极限lim(ntan1/n)n2次 求1.lim(3n-(3n^2+2n)/(n-1)) 2.lim(8+1/(n+1)) 3.lim根号n(根号(n+1)-根号(n-3)) An=(-2-1/n2,1/n) lim n→∞ An= 请问如何证明lim(n→∞)[n/(n2+n)+n/(n2+2n)+…+n/(n2+nn)]=1,以及请问如何证明lim(n→∞)[1/√(n2+1)+1/√(n2+2)…+1/√(n2+n)]=1利用夹逼准则 求极限lim((n2+1)1/8-(n+1)1/4)lim((n2+1)1/8-(n+1)1/4)n2指平方 1/8是1/8次幂 求证lim（1+1/n+1/n2）n =e ( n→∞)式中的2是平方!