`lim_(n->oo) [ (1^3+ 2^3 + 3^3 -------n^3)/n^4]`

lim_(n rarr oo)( [1^(3)x] + [2^(3)x] + ----- + [n^(3)x] )/(n^(4))

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

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

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

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

lim_(n to oo) [ 1^2/n^3 + (2^2)/(n^3) + …+ ((n-1)^2)/(n^3)]

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

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

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

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