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

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

lim_(n rarr oo)(2^(3n))/(3^(2n))=

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

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

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

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

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

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