1/(n^2+1+1)+2/(n^2+2+1)+3/(n^2+3+1)+……+n/(n^2+n+1)当n趋近于无穷时的极

高数求极限lim（1+2^n+3^n)^1/n n趋近于无穷 (5^n+(-2)^n)/(5^(n+1)+(-2)^(n+1))当n趋近无穷,求极限. (1/(n^2 n 1 ) 2/(n^2 n 2) 3/(n^2 n 3) ……n/(n^2 n n)) 当N越于无穷大 求极限n趋近于无穷时{（1+2^(1/n)+3^(1/n)+…+2013^(1/n)）/2013}^n lim n趋近无穷 3n^3+n^2-3/4n^3+2n+1的极限 证明不等式：(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n (n-1/n+3)的2n次方当n趋于无穷时的极限 高数求极限 急当n趋近于无穷大时求（1）[(n+1)(n-2)(n+3000)]/(2n^3+1)的极限 （2）1/(n 求x趋近于0时候的极限 [(n!)^(-1) * n^(-n) * (2n)!]^(1/n) (2^n+(-3)^n)/(2^(n+1)+(-3)^(n+1)) n趋近无穷大的极限 [(2n+3n)/( 2n+1+3n+1)]的极限,n趋于无穷 lim(n趋于无穷)[n(n+1)/2]/n方+3n的极限是多少?