" 警."lim_(n rarr oo)[(1)/(n)+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+cdots+(1)/(8n)]

lim_ (n rarr oo) [(1) / (n) + (n ^ (2)) / ((n + 1) ^ (3)) + (n ^ (2)) / ((n + 2) ^ (3)) + ...... + (1) / (8n)]

lim_ (n rarr oo) ((n-1) (n-2) (n-3)) / (n ^ (3))

lim_(n rarr oo)((4+3n+n^(6))^((1)/(3)))/(1+3n+2n^(2))

lim_(n rarr oo)(2^(n)+3^(n))^(1/n)

Evaluate: lim_(n rarr oo)((1^(2))/(n^(3))+(2^(2))/(n^(3))+(3^(2))/(n^(4))+...+(1)/(n))

lim_(n rarr oo)(3^(n+1)+2^(n+2))/(3^(n-1)+2^(n-2)) =

lim_(n rarr oo)(n^(2))/(1+2+3+...+n)

lim_(n rarr oo)(n^(2))/(1+2+3+...+n)