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

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)`

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

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

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 :

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 -

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

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

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

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

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