lim n趋向于无穷大n^5/e^n

lim n趋向于无穷大n^5/e^n lim (1+1/2n)^n n趋向于无穷大 lim(n趋向于无穷大 )(5n平方+n-2)/(3n平方-2) lim√1+1/n^2 n趋向于无穷大 lim nsin(3x/n)=?n趋向于无穷大 极限lim n2^n/n^n= n趋向于无穷大极限lim n2^n/n^n=？ 为什么lim n趋向于无穷大,（-2/5)^n=0 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)], 证明lim(n/(n^2+1))=0(n趋向于无穷大） 用ε-Ν定义证明lim(1-n)/(1+n)=-1,n趋向于无穷大 lim(n^2(cos1/n-1))(n趋向于无穷大） lim π^n/2^n+3^n.求极限lim n趋向于正无穷大.具体解算, lim π^n/(2^n+3^n).求极限lim n趋向于正无穷大.具体解算, lim n趋向于无穷 n[(（n+1）/n)^n-e] 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 lim(1+1/n+1）^n.趋向无穷大