varliminf t(1^(3)+2^(3)+3^(3)+...+n^(3))/(n^(4))=

Prove that underset(nrarroo)"lim"(1^(3)+2^(3)+3^(3)+...+n^(3))/(n^(4))=(1)/(4)

underset(n to oo)lim (1^(3)+2^(3)+3^(3)+...+n^(3))/(n^(4))=

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

The value of [lim_(n to oo)(1+2^(4)+3^(4)+...+n^(4))/(n^(5))-lim_(n to oo)(1+2^(3)+3^(3)+...+n^(3))/(n^(5))] is equal to -

The value of lim_(n rarr oo) (1 + 2^(4) + 3^(4) +…...+n^(4))/(n^(5)) - lim_(n rarr oo) (1 + 2^(3) + 3^(3) +…...+n^(3))/(n^(5)) is :

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