Question

limit n->infinity (1^k +2^k +3^k ....... n^k)/k(n^(k+1))

Answer 1

turn it to an integral

Answer 2

I saw your answer before post this but...i can't use integral yet for solving this. Any other ideas?

Answer 3

my answer? i see this by now :\

Answer 4

ok, lets see others opinions and ideas :)

Answer 5

from another guy who post the same question a year ago. sorry for my english but i'm not from usa or england :)

Answer 6

np :)

Answer 7

hmm if k=1 then i can prove limit = 1/2

Answer 8

you need limit in terms of "k" i assume ?

Answer 9

i get 0, is it correct ?

Answer 10

i get 0 too...but the result is 1/k+1

Answer 11

i was basically dividing numerator and denominator by n^k
so,
denominator = nk
numerator = 1+ .... (other terms =0)