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

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

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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)+2^(2)+......+n^(2))/(n^(3))

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

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

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

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

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