lim n(n+1)/2n^2－1,n为任意数,求其详解

lim n(n+1)/2n^2－1,n为任意数,求其详解 lim(n+3)(4-n)/(n-1)(3-2n) lim[(n+3)/(n+1))]^(n-2) 【n无穷大】 lim(2^n+3^n)^1 (n趋向无穷) lim(n^3+n)/(n^4-3n^2+1) lim (n!+(n-1)!+(n-2)!+(N-3)!+⋯..+2!+1)/n!其中n→∞ lim(1-1/n)^(n^2)=? lim(1-1/n^2)^n=? 数列极限(n为无限大)lim(n+1-根号（n^2+n))= lim（n→∞) （(2n!/n!*n)^1/n的极限用定积分求是lim（n→∞) 1/n(2n!/n!)^1/n 不好意思 Lim n-无穷大 n/(n^2+1^2)+n/(n^2+2^2)+.n/(n^2+n^2) 高数题：n趋近于0,lim｛1/（n^2+n+1)+2/(n^2+n+2)+3/(n^2+n+3)+.+n/(n^2+n+n)｝=? 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->无穷大(2^n-1)/(3^n+1) lim (1+1/2n)^n n趋向于无穷大 lim n->∞{2/((1+ 1/n )^n)}=? lim(1+1/(n+2))^n其中n趋近无穷 lim根号n^2+n+1/3n-2