lim(n趋向于正无穷)[1-(1/2^2)][1-(1/3^2)].[1-(1/n^2)] 等于多少,

求极限:Lim(1+1/n-1/n^2)^n n趋向于正无穷 lim(n趋向于正无穷)(x^n-1)/(x^n+1)=?, 当x趋向于正无穷,求lim{（根号((n^2)+1)）/(n+1)}^n的极限 求极限 lim (1+2+3+...+n/n+2-n/2)趋向是正无穷lim (1+2+3+...+n/(n+2)-n/2)趋向是正无穷 lim(n趋向于正无穷)[1-(1/2^2)][1-(1/3^2)].[1-(1/n^2)] 等于多少, 求lim【1/(n2+π)+1/(n2+2π)+...+1/(n2+nπ)】(n趋向于正无穷) 求解lim((3^1/n+4^1/n)/2)^n n趋向正无穷. 求lim(n趋向于正无穷)(x^n)/n! lim(n/(n^2+1)+...+n/(n^2+n))x趋向于无穷 求解答过程~ 求lim(-1+3^n)/2^(n+1)的极限(N趋向正无穷) 用夹逼准则求lim（n趋向正无穷）（2n）!/(2n+1)! lim 1/n(sinπ/n+sin2π/n+.+sinnπ/n) n 趋向于正无穷 lim x趋向于无穷 (2^n+1+3^n+1)/(2^n+3^n)= 求lim趋向于无穷3^n+(-2)^n/3^(n+1)+(-2)^(n+1) 求极限 n趋向于无穷 lim（(根号下n^2+1)/(n+1)）^n 求极限lim(n趋向于无穷）(n+1)(根号下(n^2+1)-n) lim(2^n+3^n)^1 (n趋向无穷) n趋向于无穷 lim[1-1/(2n+1)]^n 怎样算