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

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

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

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Evaluate: lim_(n rarr oo) (n(1+4+9+16+......+n^(2)))/(n^(4)+8n^(3)) .

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

lim_(n rarr oo) (1.2 +2.3+3.4+ .....+n(n+1))/n^(3)=

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

lim_(n rarr oo)(1+2^(4)+3^(4)+...+n^(4))/(n^(5))