lim n趋向于无穷大时,1/(n+1)+1/(n^2+1)开2次方+...+1/(n^n+1)开n次方

lim (1+1/2n)^n n趋向于无穷大 lim√1+1/n^2 n趋向于无穷大 lim n趋向于无穷大,n[(根号下n平方+1)-(根号下n平方-1)] n趋向于无穷大,lim n[ln(n+2)-ln(n+1)], 用ε-Ν定义证明lim(1-n)/(1+n)=-1,n趋向于无穷大 证明lim(n/(n^2+1))=0(n趋向于无穷大） lim(n^2(cos1/n-1))(n趋向于无穷大） lim(1+1/n+1）^n.趋向无穷大 证明 lim(1-1/2^n)=1 n趋向于无穷大 lim(1-1/2^n)=1 n趋向于无穷大 当n趋向于无穷大时,n{sin(1/n)-sin[1/(n+1)]}趋向 lim n趋向于无穷大时,1/(n+1)+1/(n^2+1)开2次方+...+1/(n^n+1)开n次方 n趋向于无穷大时,lim（1+a）(1+a^2).(1+a^2n）且|a| lim n趋向于无穷大n^5/e^n lim(1/n+1/(n+1)^2+…+1/(2n)^2) n趋向于正无穷大 用夹逼准则求lim(1/n^2+1/(n^2+1)+...+1/(2n)^2),n趋向于无穷大 lim nsin(3x/n)=?n趋向于无穷大 求下列极限.lim(n趋向于无穷大)(2x次方)*(sin*1/2x次方)