" 8."quad L_(x rarr oo)((1^(2)+2^(2)+3^(2)+....+n^(2)))/(n^(3))=

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

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

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

lim_(n rarr oo)(1^(2)+2^(2)+3^(2)+.........+n^(2))/(n^(3)) is equal to -

Evaluate: lim_(n rarr oo) ((1^(2)+2^(2)+3^(2)+...+n^(2)))/((1+3+5+7+...+"n terms")) .

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

Let a = lim_(n rarr oo) (1+2+3+.....+n)/(n^(2))= , b = lim_(n rarr oo) (1^(2)+2^(2)+.....+n^(2))/(n^(3))= then

{:(" "Lt),(n rarr oo):} ((1+2^(4)+3^(4)+......+n^(4))/(n^(5)))-{:(" "Lt),(n rarr oo):} ((1+2^(3)+3^(3)+....+n^(3))/(n^(5)))=

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